{"id":6547,"date":"2025-12-24T17:21:06","date_gmt":"2025-12-24T08:21:06","guid":{"rendered":"https:\/\/math-travel.com\/?p=6547"},"modified":"2026-02-11T17:22:32","modified_gmt":"2026-02-11T08:22:32","slug":"shisuu-futoushiki","status":"publish","type":"post","link":"https:\/\/math-travel.jp\/math-2\/shisuu-futoushiki\/","title":{"rendered":"\u6307\u6570\u4e0d\u7b49\u5f0f\u306e\u89e3\u304d\u65b9\u3068\u6ce8\u610f\u70b9\uff01\u300c\u4e0d\u7b49\u53f7\u306e\u5411\u304d\u300d\u306b\u6ce8\u610f"},"content":{"rendered":"\n<p><span class=\"huto\">\u300c\u6307\u6570\u95a2\u6570\u306e\u4e0d\u7b49\u5f0f\u304c\u82e6\u624b\u300d<\/span><br><span class=\"huto\">\u300c\u6307\u6570\u4e0d\u7b49\u5f0f\u306e\u89e3\u304d\u65b9\u304c\u5206\u304b\u3089\u306a\u3044\u300d<\/span><br>\u4eca\u56de\u306f\u6307\u6570\u4e0d\u7b49\u5f0f\u306b\u95a2\u3059\u308b\u3053\u3093\u306a\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi5-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u6307\u6570\u95a2\u6570\u306e\u4e0d\u7b49\u5f0f\u304c\u3069\u3046\u3057\u3066\u3082\u82e6\u624b\u3067\u3059\u2026<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<p>\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u6307\u6570\u306b\u5909\u6570\\(x\\)\u3092\u542b\u3080\u3088\u3046\u306a\u4e0d\u7b49\u5f0f\u3092<span class=\"hutoaka\">\u6307\u6570\u4e0d\u7b49\u5f0f<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"is-style-bg_stripe\">\\begin{eqnarray}<br>2^{x}&amp;\u2267&amp;8\\\\<br>\\displaystyle \\left(\\frac{1}{3}\\right)^{x+1}&amp;&lt;&amp;\\left(\\frac{1}{9}\\right)^{x}<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u6307\u6570\u4e0d\u7b49\u5f0f\u306b\u4f3c\u305f\u3082\u306e\u3067\u3001\u6307\u6570\u65b9\u7a0b\u5f0f\u304c\u3042\u308a\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<p>\u5148\u306b\u6307\u6570\u65b9\u7a0b\u5f0f\u306e\u89e3\u304d\u65b9\u3092\u78ba\u8a8d\u3057\u3066\u304a\u304f\u3068\u3001\u6307\u6570\u4e0d\u7b49\u5f0f\u306e\u89e3\u304d\u65b9\u3082\u30b9\u30e0\u30fc\u30ba\u306b\u7406\u89e3\u3067\u304d\u308b\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u21d2\u6307\u6570\u65b9\u7a0b\u5f0f\u306e\u89e3\u304d\u65b9\uff01\u51685\u30d1\u30bf\u30fc\u30f3\u3092\u5206\u304b\u308a\u3084\u3059\u304f\u89e3\u8aac\uff01<\/p>\n\n\n\n<p>\u672c\u8a18\u4e8b\u3067\u306f<span class=\"hutoaka\">\u6307\u6570\u4e0d\u7b49\u5f0f\u306e\u89e3\u304d\u65b9\u3084\u6ce8\u610f\u70b9\u3092\u89e3\u8aac<\/span>\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4f8b\u984c\u3092\u7528\u610f\u3057\u3066\u89e3\u8aac\u3057\u3066\u3044\u308b\u306e\u3067\u3001\u305c\u3072\u6311\u6226\u3057\u3066\u307f\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u6c17\u306b\u306a\u308b\u898b\u51fa\u3057\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u3001<br>\u305c\u3072\u6700\u5f8c\u307e\u3067\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"shisuu\">\u6307\u6570\u95a2\u6570\u3068\u306f\uff1f<\/h2>\n\n\n\n<p>\u307e\u305a\u306f<span class=\"huto\">\u6307\u6570\u95a2\u6570<\/span>\u306e\u78ba\u8a8d\u3092\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<p>\u6307\u6570\u95a2\u6570\u3068\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u95a2\u6570\u3067\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u6307\u6570\u95a2\u6570<\/span><\/div><div class=\"cap_box_content\">\n<p>\\(a>0,a\u22601\\)\u306e\u3068\u304d<\/p>\n\n\n\n<p>\\[y=a^{x}\\]<\/p>\n<\/div><\/div>\n\n\n\n<p>\u6307\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"407\" height=\"321\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/07\/y12^x\u306e\u30b0\u30e9\u30d5.png\" alt=\"\u6ce8\u610f\u3059\u308b\u30dd\u30a4\u30f3\u30c8\" class=\"wp-image-6491\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/07\/y12^x\u306e\u30b0\u30e9\u30d5.png 407w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/07\/y12^x\u306e\u30b0\u30e9\u30d5-300x237.png 300w\" sizes=\"(max-width: 407px) 100vw, 407px\" \/><\/figure>\n<\/div>\n\n\n<p>\\(a&gt;1\\)\u306e\u3068\u304d\u306f\u3001\u8d64\u7dda\u306e<span class=\"huto\">\u53f3\u80a9\u4e0a\u304c\u308a<\/span>\u306e\u30b0\u30e9\u30d5\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4e00\u65b9\u3001\\(0&lt;a&lt;1\\)\u306e\u3068\u304d\u306f<span class=\"huto\">\u53f3\u80a9\u4e0b\u304c\u308a<\/span>\u306e\u9752\u8272\u306e\u30b0\u30e9\u30d5\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u6307\u6570\u95a2\u6570\u306b\u3064\u3044\u3066\u3082\u3057\u3063\u304b\u308a\u7406\u89e3\u3057\u3066\u304a\u3053\u3046<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"shisuu-futoushiki\">\u6307\u6570\u4e0d\u7b49\u5f0f<\/h2>\n\n\n\n<p><span class=\"huto\">\u6307\u6570\u306b\u5909\u6570\\(x\\)\u3092\u542b\u3080\u4e0d\u7b49\u5f0f\u3092<span class=\"hutoaka\">\u6307\u6570\u4e0d\u7b49\u5f0f<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<p class=\"is-style-bg_stripe\">\\begin{eqnarray}<br>2^{x}&amp;\u2267&amp;8\\\\<br>\\displaystyle \\left(\\frac{1}{3}\\right)^{x+1}&amp;&amp;&lt;&amp;\\left(\\frac{1}{9}\\right)^{x}<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3053\u306e\u4e0d\u7b49\u5f0f\u3092\u6e80\u305f\u3059\\(x\\)\u306e\u5909\u57df\u3092\u6c42\u3081\u308b\u306e\u304c\u3001\u6307\u6570\u4e0d\u7b49\u5f0f\u306e\u554f\u984c\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u6307\u6570\u4e0d\u7b49\u5f0f\u306f<span class=\"yellow-hoso\">\u6307\u6570\u65b9\u7a0b\u5f0f\u3068\u307b\u3068\u3093\u3069\u540c\u3058\u8003\u3048\u65b9\u3067\u89e3\u304d\u307e\u3059\u3002<\/span><\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u6307\u6570\u65b9\u7a0b\u5f0f\u304c\u7406\u89e3\u3067\u304d\u3066\u3044\u308b\u3068\u30b9\u30e0\u30fc\u30ba\u3060\u3088<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"tyuui\">\u6307\u6570\u4e0d\u7b49\u5f0f\u3092\u89e3\u304f\u3068\u304d\u306e\u6ce8\u610f\u70b9<\/h2>\n\n\n\n<p>\u6307\u6570\u4e0d\u7b49\u5f0f\u3092\u89e3\u304f\u3068\u304d\u306b\u306f<span class=\"hutoaka\">\u5e95\\(a\\)\u306e\u5024\u306b\u6ce8\u610f<\/span>\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u6ce8\u610f\u30dd\u30a4\u30f3\u30c8<\/span><\/div><div class=\"cap_box_content\">\n<p>\\(a>0,a\u22601\\)\u306b\u304a\u3044\u3066<\/p>\n\n\n\n<p>\\(a>1\\)\u306e\u3068\u304d\u3001\\(y=a^{x}\\)\u306f\u5897\u52a0\u95a2\u6570\u306a\u306e\u3067<\/p>\n\n\n\n<p>\\[a^{m}&lt;a^{n} \\Leftrightarrow m&lt;n\\]<\/p>\n\n\n\n<p>\\(0&lt;a&lt;1\\)\u306e\u3068\u304d\u3001\\(y=a^{x}\\)\u306f\u6e1b\u5c11\u95a2\u6570\u306a\u306e\u3067<\/p>\n\n\n\n<p>\\[a^{m}&lt;a^{n} \\Leftrightarrow m>n\\]<\/p>\n<\/div><\/div>\n\n\n\n<p>\\(a&gt;1\\)\u306e\u3068\u304d\u306f\u3001\u30b0\u30e9\u30d5\u304c\u53f3\u80a9\u4e0a\u304c\u308a\u306a\u306e\u3067\\(a^{m}&lt;a^{n}\\)\u306e\u3068\u304d\u3001\\(m&lt;n\\)\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"490\" height=\"284\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/07\/\u6307\u6570\u4e0d\u7b49\u5f0f\u306e\u6ce8\u610f\u70b9.png\" alt=\"\u6307\u6570\u4e0d\u7b49\u5f0f\u3092\u89e3\u304f\u3068\u304d\u306e\u6ce8\u610f\u70b9\" class=\"wp-image-6553\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/07\/\u6307\u6570\u4e0d\u7b49\u5f0f\u306e\u6ce8\u610f\u70b9.png 490w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/07\/\u6307\u6570\u4e0d\u7b49\u5f0f\u306e\u6ce8\u610f\u70b9-300x174.png 300w\" sizes=\"(max-width: 490px) 100vw, 490px\" \/><\/figure>\n<\/div>\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\\(a>1\\)\u306e\u3068\u304d\u3001<\/p>\n\n\n\n<p>\\[a^{m}&lt;a^{n} \\Leftrightarrow m&lt;n\\]<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3057\u304b\u3057\u3001\\(a&lt;1\\)\u306e\u3068\u304d\u306f\u30b0\u30e9\u30d5\u306e\u53f3\u80a9\u4e0b\u304c\u308a\u306b\u306a\u308b\u306e\u3067<span class=\"hutoaka\">\u4e0d\u7b49\u53f7\u306e\u5411\u304d\u304c\u9006<\/span>\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\\(0&lt;a&lt;1\\)\u306e\u3068\u304d\u3001<\/p>\n\n\n\n<p>\\[a^{m}&lt;a^{n} \\Leftrightarrow m>n\\]<\/p>\n<\/div><\/div>\n\n\n\n<p>\u4e0d\u7b49\u5f0f\u3092\u89e3\u3044\u305f\u3089\u3001<span class=\"yellow-hoso\">\\(a\\)\u306e\u5024\u3068\u4e0d\u7b49\u53f7\u306e\u5411\u304d\u3092\u30c1\u30a7\u30c3\u30af\u3057\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi5-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u306a\u3093\u3060\u304b\u81ea\u4fe1\u304c\u3042\u308a\u307e\u305b\u3093\u2026<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u5b9f\u969b\u306e\u554f\u984c\u3067\u89e3\u8aac\u3057\u3066\u3044\u304f\u3088<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"tokikata\">\u6307\u6570\u4e0d\u7b49\u5f0f\u306e\u89e3\u304d\u65b9<\/h2>\n\n\n\n<p><span class=\"huto\">\u6307\u6570\u4e0d\u7b49\u5f0f\u306e\u89e3\u304d\u65b9\u30924\u3064\u306e\u30d1\u30bf\u30fc\u30f3\u306b\u5206\u3051\u3066\u89e3\u8aac\u3057\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u6307\u6570\u4e0d\u7b49\u5f0f\u306e\u30d1\u30bf\u30fc\u30f3<\/span><\/div><div class=\"cap_box_content\">\n<ul class=\"wp-block-list\">\n<li>\u5e95\u304c1\u3088\u308a\u5927\u304d\u3044\u3068\u304d<\/li>\n\n\n\n<li>\u5e95\u304c1\u3088\u308a\u5c0f\u3055\u3044\u3068\u304d<\/li>\n\n\n\n<li>\u7f6e\u304d\u63db\u3048\u308b\u554f\u984c<\/li>\n\n\n\n<li>\u5bfe\u6570\u3092\u3068\u308b\u554f\u984c<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u6307\u6570\u4e0d\u7b49\u5f0f\u306e\u89e3\u304d\u65b9\u3092\u89e3\u8aac\u3057\u3066\u3044\u304f\u3088\uff01<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h3 class=\"wp-block-heading\" id=\"a1\">\u5e95\u304c1\u3088\u308a\u5927\u304d\u3044\u3068\u304d<\/h3>\n\n\n\n<p>\u5e95\u304c1\u3088\u308a\u5927\u304d\u3044\u6307\u6570\u4e0d\u7b49\u5f0f\u306f\u30b7\u30f3\u30d7\u30eb\u3067\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u554f\u984c\u2460<\/span><\/div><div class=\"cap_box_content\">\n<p>\u6b21\u306e\u4e0d\u7b49\u5f0f\u3092\u89e3\u3044\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n<p>(1) \\(3^{x}&lt;3^{4}\\)<\/p>\n\n\n\n<p>(2) \\(2^{x}\u22678\\)<\/p>\n<\/div><\/div>\n\n\n\n<p>\u4e0d\u7b49\u5f0f\u3092\u89e3\u304f\u969b\u306f\u3001<span class=\"yellow-hoso\">\u4e21\u8fba\u306e\u5e95\u3092\u305d\u308d\u3048\u308b\u3053\u3068\u3092\u76ee\u6a19\u306b\u5f0f\u5909\u5f62<\/span>\u3092\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>(1)\u306e\u5834\u5408\u306f\u3059\u3067\u306b\u5e95\u304c3\u3067\u305d\u308d\u3063\u3066\u3044\u307e\u3059\u306d\u3002<\/p>\n\n\n\n<p>\\[3^{x}&lt;3^{4}\\]<\/p>\n\n\n\n<p>\u5e95\u304c1\u3088\u308a\u5927\u304d\u3044\u306e\u3067\u3001\u6307\u6570\u3092\u305d\u306e\u307e\u307e\u6bd4\u8f03\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\[x&lt;4\\]<\/p>\n\n\n\n<p>\u3053\u308c\u3067\u4e0d\u7b49\u5f0f\u3092\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>(2)\u306f\u5e95\u3092\u305d\u308d\u3048\u308b\u4f5c\u696d\u304c\u5fc5\u8981\u3067\u3059\u3002<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>2^{x}&amp;\u2267&amp;8\\\\<br>2^{x}&amp;\u2267&amp;2^{3}<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3053\u308c\u3067\u4e21\u8fba\u3092\u5e952\u3067\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u5e95\u304c1\u3088\u308a\u5927\u304d\u3044\u306e\u3067\u3001\u4e0d\u7b49\u53f7\u306e\u5411\u304d\u306f\u5909\u3048\u305a\u306b\u6307\u6570\u3092\u6bd4\u8f03\u3057\u3066\u3001<\/p>\n\n\n\n<p>\\[x\u22673\\]<\/p>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\u5e95\u304c1\u3088\u308a\u5927\u304d\u3044\u5834\u5408\u306f\u3001<span class=\"hutoaka\">\u4e0d\u7b49\u53f7\u306e\u5411\u304d\u3092\u5909\u3048\u305a\u306b\u6307\u6570\u3092\u6bd4\u8f03<\/span>\u3057\u307e\u3059\u3002<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi7-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u3053\u308c\u306a\u3089\u3067\u304d\u308b\u6c17\u304c\u3059\u308b\u3088\uff01<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h3 class=\"wp-block-heading\" id=\"1a\">\u5e95\u304c\uff11\u3088\u308a\u5c0f\u3055\u3044\u3068\u304d<\/h3>\n\n\n\n<p>\u5e95\u304c1\u3088\u308a\u5c0f\u3055\u3044\u3068\u304d\u306f<span class=\"red-hoso\">\u4e0d\u7b49\u53f7\u306e\u5411\u304d\u306b\u6ce8\u610f<\/span>\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u554f\u984c\u2461<\/span><\/div><div class=\"cap_box_content\">\n<p>\u6b21\u306e\u4e0d\u7b49\u5f0f\u3092\u89e3\u3044\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n<p>(1) \\(\\displaystyle \\left(\\frac{1}{2}\\right)^{x}&lt;\\left(\\frac{1}{2}\\right)^{3}\\)<\/p>\n\n\n\n<p>(2) \\(\\displaystyle \\left(\\frac{1}{2}\\right)^{x}\u2267\\left(\\frac{1}{8}\\right)\\)<\/p>\n<\/div><\/div>\n\n\n\n<p>(1)\u306f\u4e21\u8fba\u306e\u5e95\u304c\\(\\displaystyle \\frac{1}{2}\\)\u3067\u63c3\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\(\\displaystyle \\frac{1}{2}&lt;1\\)\u3067\u5e95\u304c1\u3088\u308a\u5c0f\u3055\u3044\u306e\u3067\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>\\displaystyle \\left(\\frac{1}{2}\\right)^{x}&amp;&lt;&amp;\\left(\\frac{1}{2}\\right)^{3}\\\\<br>x&amp;&gt;&amp;3<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u6700\u5f8c\u306e\u4e0d\u7b49\u53f7\u306e\u5411\u304d\u306b\u6c17\u3092\u4ed8\u3051\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<p>(2)\u306e\u4e0d\u7b49\u5f0f\u3082\u89e3\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>\\displaystyle \\left(\\frac{1}{2}\\right)^{x}&amp;\u2267&amp;\\left(\\frac{1}{8}\\right)\\\\<br>\\displaystyle \\left(\\frac{1}{2}\\right)^{x}&amp;\u2267&amp;\\left(\\frac{1}{2}\\right)^{3}\\\\<br>x&amp;\u2266&amp;3<br>\\end{eqnarray}<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi7-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u5e95\u306b\u6c17\u3092\u4ed8\u3051\u3066\u3044\u308c\u3070\u89e3\u3051\u305d\u3046\u3067\u3059<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h3 class=\"wp-block-heading\" id=\"okikae\">\u7f6e\u304d\u63db\u3048\u308b\u554f\u984c<\/h3>\n\n\n\n<p>\u6307\u6570\u4e0d\u7b49\u5f0f\u306e\u554f\u984c\u306b\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u3082\u306e\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u554f\u984c\u2462<\/span><\/div><div class=\"cap_box_content\">\n<p>\u6b21\u306e\u4e0d\u7b49\u5f0f\u3092\u89e3\u3044\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n<p>\\[2^{2x}-6 \\cdot 2^{x} +8&lt;0\\]<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3053\u306e\u554f\u984c\u306f\\(2^{x}\\)\u3092\\(t\\)\u306b\u7f6e\u304d\u63db\u3048\u3066\u3001\\(t\\)\u306e\u4e0d\u7b49\u5f0f\u3092\u89e3\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u3068\u304d\u3001<span class=\"red-hoso\">\\(2^{x}&gt;0\\)\u306a\u306e\u3067\\(t&gt;0\\)\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"464\" height=\"388\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/07\/y2^x\u306e\u30b0\u30e9\u30d5\u2461.png\" alt=\"\u6307\u6570\u95a2\u6570\\(y=2^{x}\\)\u306e\u30b0\u30e9\u30d5\" class=\"wp-image-6489\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/07\/y2^x\u306e\u30b0\u30e9\u30d5\u2461.png 464w, https:\/\/math-travel.jp\/wp-content\/uploads\/2021\/07\/y2^x\u306e\u30b0\u30e9\u30d5\u2461-300x251.png 300w\" sizes=\"(max-width: 464px) 100vw, 464px\" \/><\/figure>\n<\/div>\n\n\n<p>\\begin{eqnarray}<br>2^{2x}-6 \\cdot 2^{x} +8&lt;0\\\\<br>t^{2}-6t+8&lt;0\\\\<br>(t-2)(t-4)&lt;0\\\\<br>2&lt;t&lt;4<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3053\u3053\u3067\\(t=2^{x}\\)\u306a\u306e\u3067\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>2&lt;2^{x}&lt;4\\\\<br>2^{1}&lt;2^{x}&lt;2^{2}\\\\<br>1&lt;x&lt;2<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\\(t&gt;0\\)\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u4e0d\u7b49\u5f0f\u3092\u89e3\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u7f6e\u304d\u63db\u3048\u308b\u3068\u89e3\u304d\u3084\u3059\u304f\u306a\u308b\u3088\uff01<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h3 class=\"wp-block-heading\" id=\"taisuu\">\u5bfe\u6570\u3092\u3068\u308b\u554f\u984c<\/h3>\n\n\n\n<p>\u4e21\u8fba\u306e\u5e95\u3092\u305d\u308d\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u306a\u3044\u4e0d\u7b49\u5f0f\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u554f\u984c\u2463<\/span><\/div><div class=\"cap_box_content\">\n<p>\u6b21\u306e\u4e0d\u7b49\u5f0f\u3092\u89e3\u3044\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n<p>(1) \\(2^{x}\u22665\\)<\/p>\n\n\n\n<p>(2) \\(3^{x}>12\\)<\/p>\n<\/div><\/div>\n\n\n\n<p>\u540c\u3058\u5e95\u3067\u8868\u305b\u306a\u3044\u3068\u304d\u306f\u3001\u4e21\u8fba\u306e<span class=\"hutoaka\">\u5bfe\u6570<\/span>\u3092\u3068\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u554f\u984c\u306e\u5834\u5408\u306f\u3001\\(log_{2}\\)\u3067\u5bfe\u6570\u3092\u3068\u308b\u3068\u8a08\u7b97\u3057\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>2^{x}&amp;\u2266&amp;5\\\\<br>log_{2}2^{x}&amp;\u2266&amp;log_{2}5\\\\<br>x log_{2}2&amp;\u2266&amp;log_{2}5\\\\<br>x&amp;\u2266&amp;log_{2}5<br>\\end{eqnarray}<\/p>\n\n\n\n<p>(2)\u306e\u554f\u984c\u3082\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>3^{x}&amp;&gt;&amp;12\\\\<br>log_{3}3^{x}&amp;&gt;&amp;log_{3}12\\\\<br>x log_{3}3&amp;&gt;&amp;log_{3}(3 \\cdot 4)\\\\<br>x&amp;&gt;&amp;log_{3}3+log_{3}2^{2}\\\\<br>x&amp;&gt;&amp;1+2 log_{3}2<br>\\end{eqnarray}<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u5225\u5358\u5143\u3067\u3082\u5bfe\u6570\u3092\u3068\u308b\u3053\u3068\u304c\u3042\u308b\u306e\u3067\u3001\u6163\u308c\u3066\u304a\u304d\u307e\u3057\u3087\u3046\uff01<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"mondai\">\u6307\u6570\u4e0d\u7b49\u5f0f\u300a\u7df4\u7fd2\u554f\u984c\u300b<\/h2>\n\n\n\n<p>\u6307\u6570\u4e0d\u7b49\u5f0f\u306e\u7df4\u7fd2\u554f\u984c\u306b\u30c1\u30e3\u30ec\u30f3\u30b8\u3057\u3066\u307f\u307e\u3057\u3087\u3046\uff01<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7df4\u7fd2\u554f\u984c<\/span><\/div><div class=\"cap_box_content\">\n<p>\u6b21\u306e\u4e0d\u7b49\u5f0f\u3092\u89e3\u3044\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n<p>(1) \\(3^{x}\u226627\\)<\/p>\n\n\n\n<p>(2) \\(9^{x}-10 \\cdot 3^{x}+9>0\\)<\/p>\n\n\n\n<p>(3) \\(2^{x+3}>5^{x+1}\\)<\/p>\n<\/div><\/div>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u3069\u306e\u89e3\u304d\u65b9\u3067\u89e3\u304f\u306e\u304b\u8003\u3048\u3066\u307f\u3088\u3046\uff01<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h3 class=\"wp-block-heading\">\u7df4\u7fd2\u554f\u984c1\u306e\u89e3\u8aac<\/h3>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7df4\u7fd2\u554f\u984c1<\/span><\/div><div class=\"cap_box_content\">\n<p>\u6b21\u306e\u4e0d\u7b49\u5f0f\u3092\u89e3\u3044\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n<p>(1) \\(3^{x}\u226627\\)<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3053\u306e\u554f\u984c\u306f\u6307\u6570\u4e0d\u7b49\u5f0f\u306e\u306a\u304b\u3067\u30821\u756a\u7c21\u5358\u306a\u554f\u984c\u3067\u3059\u3002<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>3^{x}&amp;\u2266&amp;27\\\\<br>3^{x}&amp;\u2266&amp;3^{3}\\\\<br>x&amp;\u2266&amp;3<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u5e95\u304c1\u3088\u308a\u5927\u304d\u3044\u306e\u3067\u3001\u4e0d\u7b49\u53f7\u306e\u5411\u304d\u306f\u305d\u306e\u307e\u307e\u3067\u5927\u4e08\u592b\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u57fa\u672c\u7684\u306a\u6307\u6570\u4e0d\u7b49\u5f0f\u304c\u307e\u3060\u4e0d\u5b89\u306a\u65b9\u306f\u3001<a href=\"#a1\">\u5e95\u3092\u305d\u308d\u3048\u308b\u554f\u984c\u306e\u89e3\u304d\u65b9<\/a>\u306b\u623b\u3063\u3066\u3082\u3046\u4e00\u5ea6\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi7-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u3053\u306e\u554f\u984c\u306f\u3082\u3046\u5927\u4e08\u592b\u305d\u3046\u3067\u3059<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h3 class=\"wp-block-heading\">\u7df4\u7fd2\u554f\u984c2\u306e\u89e3\u8aac<\/h3>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7df4\u7fd2\u554f\u984c2<\/span><\/div><div class=\"cap_box_content\">\n<p>\u6b21\u306e\u4e0d\u7b49\u5f0f\u3092\u89e3\u3044\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n<p>(2) \\(4^{x}-3 \\cdot 2^{x}-4>0\\)<\/p>\n<\/div><\/div>\n\n\n\n<p>\u3053\u308c\u306f\u7f6e\u304d\u63db\u3048\u306e\u554f\u984c\u3067\u3059\u306d\u3002<\/p>\n\n\n\n<p>\\(2^{x}=t\\)\u3068\u3059\u308b\u3068\u3001\\(t&gt;0\\)\u3067\u3042\u308a\u3001\u4e0d\u7b49\u5f0f\u306f<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>t^{2}-3t-4&gt;0\\\\<br>(t+1)(t-4)&gt;0\\\\<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3053\u3053\u3067\\(t+1&gt;0\\)\u306a\u306e\u3067,<\/p>\n\n\n\n<p>\\(t-4&gt;0\\)\u3059\u306a\u308f\u3061\\(t&gt;4\\)<\/p>\n\n\n\n<p>\u3088\u3063\u3066<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>2^{x}&gt;4\\\\<br>2^{x}&gt;2^{2}\\\\<br>x&gt;2<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u96e3\u3057\u305d\u3046\u306a\u554f\u984c\u306b\u898b\u3048\u307e\u3059\u304c\u3001\\(t\\)\u306b\u7f6e\u304d\u63db\u3048\u308b\u3053\u3068\u3067\u4e8c\u6b21\u4e0d\u7b49\u5f0f\u3092\u89e3\u304f\u3060\u3051\u306e\u554f\u984c\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u7f6e\u304d\u63db\u3048\u308b\u554f\u984c\u306e\u89e3\u304d\u65b9\u3092\u518d\u78ba\u8a8d\u3057\u305f\u3044\u65b9\u306f\u3053\u3061\u3089<\/p>\n\n\n\n<p>\u21d2<a href=\"#okikae\">\u7f6e\u304d\u63db\u3048\u308b\u554f\u984c\u306e\u89e3\u304d\u65b9<\/a><\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi7-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u89e3\u304d\u65b9\u3092\u899a\u3048\u305f\u306e\u3067\u3053\u308c\u304b\u3089\u306f\u89e3\u3051\u305d\u3046\u3067\u3059\uff01<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h3 class=\"wp-block-heading\">\u7df4\u7fd2\u554f\u984c3\u306e\u89e3\u8aac<\/h3>\n\n\n\n<p>\u6700\u5f8c\u306f\u4e21\u8fba\u306b\u5bfe\u6570\u3092\u3068\u308b\u554f\u984c\u3067\u3059\u306d\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7df4\u7fd2\u554f\u984c3<\/span><\/div><div class=\"cap_box_content\">\n<p>\u6b21\u306e\u4e0d\u7b49\u5f0f\u3092\u89e3\u3044\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n<p>(3) \\(2^{x+3}>5^{x+1}\\)<\/p>\n<\/div><\/div>\n\n\n\n<p>\u4eca\u56de\u306f\\(log_{2}\\)\u3067\u5bfe\u6570\u3092\u3068\u3063\u3066\u8a08\u7b97\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>\\log_{2}2^{x+3}&amp;&gt;&amp;log_{2}5^{x+1}\\\\<br>(x+3)log_{2}2&amp;&gt;&amp;(x+1)log_{2}5\\\\<br>(x+3)&amp;&gt;&amp;(x+1)log_{2}5\\\\<br>(1-log_{2}5)x&amp;&gt;&amp;log_{2}5-3<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3053\u3053\u3067\\(1-log_{2}5&lt;0\\)\u306a\u306e\u3067\u4e0d\u7b49\u53f7\u306e\u5411\u304d\u306b\u6ce8\u610f\u3057\u3066\u3001<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>\\displaystyle x&amp;&lt;&amp;\\frac{log_{2}5-3}{1-log_{2}5}\\\\<br>\\displaystyle x&amp;&lt;&amp;\\frac{3-log_{2}5}{log_{2}5-1}\\\\<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3053\u308c\u3067\u5bfe\u6570\u3092\u3068\u308b\u4e0d\u7b49\u5f0f\u3092\u6c42\u3081\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3057\u305f\u306d\u3002<\/p>\n\n\n\n<p>\u5bfe\u6570\u3092\u3068\u308b\u30d1\u30bf\u30fc\u30f3\u304c\u82e6\u624b\u306a\u65b9\u306f\u3001\u3072\u3068\u307e\u305a\u305f\u304f\u3055\u3093\u554f\u984c\u3092\u89e3\u3044\u3066\u307f\u3066\u5c11\u3057\u305a\u3064\u6163\u308c\u3066\u3044\u304f\u306e\u304c\u826f\u3044\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u5bfe\u6570\u306e\u3053\u3068\u3092\u5fd8\u308c\u304c\u3061\u306a\u306e\u3067\u6ce8\u610f<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"matome\">\u6307\u6570\u4e0d\u7b49\u5f0f\u3000\u307e\u3068\u3081<\/h2>\n\n\n\n<p><span class=\"huto\">\u4eca\u56de\u306f\u6307\u6570\u4e0d\u7b49\u5f0f\u306b\u3064\u3044\u3066\u307e\u3068\u3081\u307e\u3057\u305f\u3002<\/span><\/p>\n\n\n\n<p>\u6307\u6570\u4e0d\u7b49\u5f0f\u306e\u554f\u984c\u306b\u306f\u30d1\u30bf\u30fc\u30f3\u304c\u3042\u308b\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u6307\u6570\u4e0d\u7b49\u5f0f\u306e\u30d1\u30bf\u30fc\u30f3<\/span><\/div><div class=\"cap_box_content\">\n<ul class=\"wp-block-list\">\n<li>\u5e95\u304c1\u3088\u308a\u5927\u304d\u3044\u3068\u304d<\/li>\n\n\n\n<li>\u5e95\u304c1\u3088\u308a\u5c0f\u3055\u3044\u3068\u304d<\/li>\n\n\n\n<li>\u7f6e\u304d\u63db\u3048\u308b\u554f\u984c<\/li>\n\n\n\n<li>\u5bfe\u6570\u3092\u3068\u308b\u554f\u984c<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>\u6307\u6570\u4e0d\u7b49\u5f0f\u3092\u89e3\u304f\u3068\u304d\u3001\u5e95\\(a\\)\u306e\u5024\u306b\u6ce8\u610f\u3059\u308b\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u6ce8\u610f\u30dd\u30a4\u30f3\u30c8<\/span><\/div><div class=\"cap_box_content\">\n<p>\\(a>0,a\u22601\\)\u306b\u304a\u3044\u3066<\/p>\n\n\n\n<p>1.\\(a>1\\)\u306e\u3068\u304d\u3001\\(y=a^{x}\\)\u306f\u5897\u52a0\u95a2\u6570\u306a\u306e\u3067<\/p>\n\n\n\n<p>\\[a^{m}&lt;a^{n} \\Leftrightarrow m&lt;n\\]<\/p>\n\n\n\n<p>2.\\(0&lt;a&lt;1\\)\u306e\u3068\u304d\u3001\\(y=a^{x}\\)\u306f\u6e1b\u5c11\u95a2\u6570\u306a\u306e\u3067<\/p>\n\n\n\n<p>\\[a^{m}&lt;a^{n} \\Leftrightarrow m>n\\]<\/p>\n<\/div><\/div>\n\n\n\n<p>\u6307\u6570\u306e\u65b9\u7a0b\u5f0f\u3084\u4e0d\u7b49\u5f0f\u3092\u6c42\u3081\u308b\u8a08\u7b97\u904e\u7a0b\u3067\u3001<span class=\"hutoaka\">\u6307\u6570\u6cd5\u5247<\/span>\u3068<span class=\"hutoaka\">\u5bfe\u6570\u6cd5\u5247<\/span>\u3092\u3088\u304f\u4f7f\u3044\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u300c\u6307\u6570\u95a2\u6570\u306e\u4e0d\u7b49\u5f0f\u304c\u82e6\u624b\u300d\u300c\u6307\u6570\u4e0d\u7b49\u5f0f\u306e\u89e3\u304d\u65b9\u304c\u5206\u304b\u3089\u306a\u3044\u300d\u4eca\u56de\u306f\u6307\u6570\u4e0d\u7b49\u5f0f\u306b\u95a2\u3059\u308b\u3053\u3093\u306a\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u3066\u3044\u304d\u307e\u3059\u3002 \u4ee5\u4e0b\u306e\u3088\u3046\u306a\u6307\u6570\u306b\u5909\u6570\\(x\\)\u3092\u542b\u3080\u3088\u3046\u306a\u4e0d\u7b49\u5f0f\u3092\u6307\u6570\u4e0d\u7b49\u5f0f\u3068\u3044\u3044\u307e\u3059\u3002 \\begin{eqnarra [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":6552,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"swell_btn_cv_data":"","footnotes":""},"categories":[19,224],"tags":[18,60,14,11],"class_list":["post-6547","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-log","category-math-2","tag-18","tag-60","tag-b","tag-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u6307\u6570\u4e0d\u7b49\u5f0f\u306e\u89e3\u304d\u65b9\u3068\u6ce8\u610f\u70b9\uff01\u300c\u4e0d\u7b49\u53f7\u306e\u5411\u304d\u300d\u306b\u6ce8\u610f<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/math-travel.jp\/math-2\/shisuu-futoushiki\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u6307\u6570\u4e0d\u7b49\u5f0f\u306e\u89e3\u304d\u65b9\u3068\u6ce8\u610f\u70b9\uff01\u300c\u4e0d\u7b49\u53f7\u306e\u5411\u304d\u300d\u306b\u6ce8\u610f\" \/>\n<meta property=\"og:description\" content=\"\u300c\u6307\u6570\u95a2\u6570\u306e\u4e0d\u7b49\u5f0f\u304c\u82e6\u624b\u300d\u300c\u6307\u6570\u4e0d\u7b49\u5f0f\u306e\u89e3\u304d\u65b9\u304c\u5206\u304b\u3089\u306a\u3044\u300d\u4eca\u56de\u306f\u6307\u6570\u4e0d\u7b49\u5f0f\u306b\u95a2\u3059\u308b\u3053\u3093\u306a\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u3066\u3044\u304d\u307e\u3059\u3002 \u4ee5\u4e0b\u306e\u3088\u3046\u306a\u6307\u6570\u306b\u5909\u6570(x)\u3092\u542b\u3080\u3088\u3046\u306a\u4e0d\u7b49\u5f0f\u3092\u6307\u6570\u4e0d\u7b49\u5f0f\u3068\u3044\u3044\u307e\u3059\u3002 begin{eqnarra [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/math-travel.jp\/math-2\/shisuu-futoushiki\/\" \/>\n<meta property=\"og:site_name\" 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