{"id":6455,"date":"2025-12-24T17:21:06","date_gmt":"2025-12-24T08:21:06","guid":{"rendered":"https:\/\/math-travel.com\/?p=6455"},"modified":"2026-02-11T17:21:11","modified_gmt":"2026-02-11T08:21:11","slug":"shisuu-log","status":"publish","type":"post","link":"https:\/\/math-travel.jp\/math-2\/shisuu-log\/","title":{"rendered":"\u3010\u6307\u6570\u30fb\u5bfe\u6570\u95a2\u6570\u3011log\u306e\u516c\u5f0f\u30fb\u6027\u8cea\u3092\u7dcf\u307e\u3068\u3081\uff01\u8a08\u7b97\u3092\u5b8c\u74a7\u306b\u3059\u308b\u5fb9\u5e95\u89e3\u8aac"},"content":{"rendered":"\n
\u300c\u6307\u6570\u95a2\u6570\u30fb\u5bfe\u6570\u95a2\u6570\u304c\u82e6\u624b\u300d<\/span> \u30c6\u30b9\u30c8\u306b\u5411\u3051\u3066\u6307\u6570\u30fb\u5bfe\u6570\u306e\u5fa9\u7fd2\u304c\u3057\u305f\u3044\u3067\u3059\u2026<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n \u672c\u8a18\u4e8b\u3067\u306f\u6307\u6570\u30fb\u5bfe\u6570\u95a2\u6570\u306b\u3064\u3044\u3066\u5fb9\u5e95\u89e3\u8aac<\/span>\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n \u305c\u3072\u5b9a\u671f\u30c6\u30b9\u30c8\u306b\u5411\u3051\u305f\u7dcf\u5fa9\u7fd2\u306b\u6d3b\u7528\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n \u6307\u6570\u95a2\u6570\u3068\u306f\u3001\\(a>0,a\u22601\\)\u3068\u3057\u3066\\(y=a^{x}\\)\u306e\u3088\u3046\u306b\u6307\u6570\u306b\u5909\u6570\u3092\u542b\u3080\u95a2\u6570\u3067\u3059\u3002<\/span><\/p>\n\n\n\n \\(a>0,a\u22601\\)\u306e\u3068\u304d<\/p>\n\n\n\n \\[y=a^{x}\\]<\/p>\n<\/div><\/div>\n\n\n\n \\(y=a^{x}\\)\u306b\u304a\u3044\u3066\u3001\\(a\\)\u306e\u3053\u3068\u3092\u5e95\uff08\u3066\u3044<\/span>\uff09\u3068\u3044\u3044\u3001\\(x\\)\u306e\u3053\u3068\u3092\u6307\u6570\uff08\u3057\u3059\u3046\uff09<\/span>\u3068\u547c\u3073\u307e\u3059\u3002<\/p>\n\n\n \u3064\u307e\u308a\u3001\\(y=a^{x}\\)\u306f\u300c\u5e95\u304c\\(a\\),\u6307\u6570\\(x\\)\u306e\u6307\u6570\u95a2\u6570\u300d\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u306d\u3002<\/p>\n\n\n\n \u6307\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u30a4\u30e1\u30fc\u30b8\u3067\u304d\u307e\u3059\u304b\uff1f<\/p>\n\n\n\n \u5e95\u306e\u5024\u306b\u3088\u3063\u3066\u3001\u6307\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306f\u5909\u5316\u3059\u308b\u306e\u3067\u6ce8\u610f\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n [1] \\(a>1\\)\u306e\u3068\u304d<\/p>\n\n\n [2] \\(a<1\\)\u306e\u3068\u304d<\/p>\n\n\n \u6307\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u66f8\u304d\u65b9\u306f\u3053\u3061\u3089\u3067\u307e\u3068\u3081\u307e\u3057\u305f\u3002<\/p>\n\n\n\n \u21d2\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3068\u66f8\u304d\u65b93\u30b9\u30c6\u30c3\u30d7\u3092\u89e3\u8aac\uff01<\/p>\n\n\n\n \u6307\u6570\u95a2\u6570\u3092\u4f7f\u3044\u3053\u306a\u3059\u306b\u306f\u6307\u6570\u6cd5\u5247<\/span>\u306e\u7406\u89e3\u3082\u6b20\u304b\u305b\u307e\u305b\u3093\u3002<\/p>\n\n\n\n \u4ee5\u4e0b\u304c\u6307\u6570\u6cd5\u5247\u306e\u91cd\u8981\u306a\u516c\u5f0f\u3067\u3059\u3002<\/span><\/p>\n\n\n\n \u4ee5\u4e0b\u306e3\u3064\u306e\u516c\u5f0f\u3082\u304b\u306a\u308a\u91cd\u8981\u3067\u3059\u3002<\/p>\n\n\n\n \\(a\u22600,b\u22600\\)\u3067\u3001\\(m,n\\)\u304c\u6574\u6570\u306e\u3068\u304d<\/p>\n\n\n\n \u3053\u3053\u3067\u306f\u516c\u5f0f\u306e\u7d39\u4ecb\u3057\u304b\u3057\u307e\u305b\u3093\u304c\u3001\u8a73\u3057\u3044\u4f7f\u3044\u65b9\u3084\u7df4\u7fd2\u554f\u984c\u306f\u300c\u6307\u6570\u6cd5\u5247\u306e\u91cd\u8981\u306a\u516c\u5f0f8\u9078\uff01\u3053\u308c\u3067\u5206\u6570\u3084\u30de\u30a4\u30ca\u30b9\u306b\u3082\u56f0\u3089\u306a\u3044\uff01\u300d\u3067\u89e3\u8aac\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n \u4ee5\u4e0b\u306e\u3088\u3046\u306a\u6307\u6570\u95a2\u6570\u3092\u542b\u3080\u65b9\u7a0b\u5f0f\u3092\u6307\u6570\u65b9\u7a0b\u5f0f<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n \\[2^{x}=8\\]<\/p>\n\n\n\n \\[9^{x}+3^{x}=90\\]<\/p>\n\n\n\n \\[2^{2x}-6 \\cdot 2^{x} +8=0\\]<\/p>\n<\/div><\/div>\n\n\n\n \u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3068\u3044\u3046\u306e\u306f\u3001\u4e0e\u3048\u3089\u308c\u305f\u7b49\u5f0f\u3092\u6210\u308a\u7acb\u305f\u305b\u308b\\(x\\)\u306e\u5024\u3092\u6c42\u3081\u308b\u3053\u3068\u3092\u6307\u3057\u307e\u3059\u3002<\/p>\n\n\n\n \u6307\u6570\u65b9\u7a0b\u5f0f\u306e\u89e3\u304d\u65b9\u306b\u306f\u5927\u304d\u304f5\u3064\u30d1\u30bf\u30fc\u30f3\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n \u305d\u308c\u305e\u308c\u306e\u89e3\u304d\u65b9\u306f\u300c\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\u300d\u306b\u3066\u89e3\u8aac\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n \u6307\u6570\u65b9\u7a0b\u5f0f\u306e\u6b21\u306f\u6307\u6570\u4e0d\u7b49\u5f0f\u3067\u3059\u3002<\/p>\n\n\n\n \u4ee5\u4e0b\u306e\u3088\u3046\u306a\u6307\u6570\u306b\u5909\u6570\\(x\\)\u3092\u542b\u3080\u4e0d\u7b49\u5f0f\u3092\u6307\u6570\u4e0d\u7b49\u5f0f<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n \\begin{eqnarray} \u6307\u6570\u4e0d\u7b49\u5f0f\u3092\u89e3\u304f\u3068\u304d\u306b\u306f\u5e95\\(a\\)\u306e\u5024\u306b\u6ce8\u610f<\/span>\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n \\(a>0,a\u22601\\)\u306b\u304a\u3044\u3066<\/p>\n\n\n\n \\(a>1\\)\u306e\u3068\u304d\u3001\\(y=a^{x}\\)\u306f\u5897\u52a0\u95a2\u6570\u306a\u306e\u3067<\/p>\n\n\n\n \\[a^{m}<a^{n} \\Leftrightarrow m<n\\]<\/p>\n\n\n\n \\(0<a<1\\)\u306e\u3068\u304d\u3001\\(y=a^{x}\\)\u306f\u6e1b\u5c11\u95a2\u6570\u306a\u306e\u3067<\/p>\n\n\n\n \\[a^{m}<a^{n} \\Leftrightarrow m>n\\]<\/p>\n<\/div><\/div>\n\n\n\n \u6307\u6570\u4e0d\u7b49\u5f0f\u306b\u3082\u89e3\u304d\u65b9\u304c\u3042\u308a\u3001\u300c\u6307\u6570\u4e0d\u7b49\u5f0f\u306e\u89e3\u304d\u65b9\u3068\u6ce8\u610f\u70b9\uff01log\u3084\u7f6e\u304d\u63db\u3048\u554f\u984c\u3082\u89e3\u8aac\uff01\u300d\u306b\u3066\u89e3\u304d\u65b9\u3092\u8a73\u3057\u304f\u89e3\u8aac\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n \\(y=log_{a}x\\)\u306e\u3088\u3046\u306a\u95a2\u6570\u3092\u3001\\(a\\)\u3092\u5e95\u3068\u3059\u308b\\(x\\)\u306e\u5bfe\u6570\u95a2\u6570<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n \\(a>0,a\u22601,x>0\\)\u3068\u3059\u308b\u3068\u304d\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u95a2\u6570\u3092\u5bfe\u6570\u95a2\u6570\u3068\u3044\u3046\u3002<\/p>\n\n\n\n \\[y=log_{a}x\\]<\/p>\n<\/div><\/div>\n\n\n\n \u5bfe\u6570\\(log_{a}M\\)\u3068\u306f\u3001\u300c\\(M\\)\u306f\\(a\\)\u306e\u4f55\u4e57\u306a\u306e\u304b\u300d\u3092\u8868\u3057\u305f\u3082\u306e\u3067\u3059\u3002<\/p>\n\n\n\n \\(a>0,a\u22601\\)\u3067\\(M>0\\)\u306b\u304a\u3044\u3066\u3001<\/p>\n\n\n\n \\[log_{a}M=x \\Leftrightarrow a^{x}=M\\]<\/p>\n\n\n\n \u305f\u3060\u3057\u3001\u771f\u6570\\(b\\)\u306f\u6b63\u306e\u6570\u3067\u3042\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n \\[a^{x}=M\\]<\/p>\n\n\n\n \\(a\\)\u306e\\(x\\)\u4e57\u304c\\(M\\)\u306e\u3068\u304d\u3001\u5bfe\u6570\u3067\u8868\u3059\u3053\u3068\u3067<\/p>\n\n\n\n \\[log_{a}M=x\\]<\/p>\n\n\n\n \u3068\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n \u6307\u6570\u3068\u5bfe\u6570\u306f\u5408\u308f\u305b\u3066\u7406\u89e3\u3057\u3066\u3044\u3053\u3046<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n \\(log_{a}b=x\\)\u306b\u304a\u3051\u308b\\(a\\)\u3092\u5e95\uff08\u3066\u3044\uff09\u3001\\(b\\)\u3092\u771f\u6570\uff08\u3057\u3093\u3059\u3046\uff09\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n \u5e95\u306f\u6307\u6570\u3067\u8868\u3059\u3068\u304d\u306b\u3082\u4f7f\u3046\u7528\u8a9e\u306a\u306e\u3067\u899a\u3048\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n \u6307\u6570\\(a^{x}=b\\)\u306b\u304a\u3051\u308b\\(a\\)\u3092\u5e95\u3001\\(x\\)\u3092\u6307\u6570\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n \u6307\u6570\u306b\u6307\u6570\u6cd5\u5247\u304c\u3042\u308b\u3088\u3046\u306b\u3001\u5bfe\u6570\u306b\u3082\u3044\u304f\u3064\u304b\u91cd\u8981\u306a\u6027\u8cea\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n \\(a>0,m>0,n>0,a\u22601\\)\u306b\u304a\u3044\u3066<\/p>\n\n\n\n \\(log_{a}a=1\\)<\/p>\n\n\n\n \\(log_{a}a^{m}=m\\)<\/p>\n\n\n\n \\(log_{a}b^{m}=m log_{a}b\\)<\/p>\n\n\n\n \\(log_{a}m+log_{a}n=log_{a}mn\\)<\/p>\n\n\n\n \\(\\displaystyle log_{a}m-log_{a}n=log_{a} \\frac{m}{n}\\)<\/p>\n<\/div><\/div>\n\n\n\n \u3053\u308c\u3089\u306e\u6027\u8cea\u306f\u5bfe\u6570\u306e\u8a08\u7b97\u3067\u5f53\u305f\u308a\u524d\u306e\u3088\u3046\u306b\u4f7f\u3044\u307e\u3059\u3002<\/p>\n\n\n\n \u5e95\u306e\u5909\u63db\u516c\u5f0f\u306f\u5bfe\u6570log\u306e\u91cd\u8981\u306a\u516c\u5f0f\u306e1\u3064<\/span>\u3067\u3059\u3002<\/p>\n\n\n\n \\(a,b,c>0\u3001a,c\u22601\\)\u306e\u3068\u304d<\/p>\n\n\n\n \\[\\displaystyle log_{a}b=\\frac{log_{c}b}{log_{c}a}\\]<\/p>\n<\/div><\/div>\n\n\n\n \u4ee5\u4e0b\u306e\u3088\u3046\u306a\u5bfe\u6570\u306e\u8a08\u7b97\u304c\u3042\u3063\u305f\u3068\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n \u6b21\u306e\u8a08\u7b97\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n\n\n\n \\[\\displaystyle log_{2}3 \\cdot log_{3}4\\]<\/p>\n<\/div><\/div>\n\n\n\n \u3053\u308c\u3089\u306f\u5bfe\u6570\u306e\u5e95\u304c\u7570\u306a\u308b\u306e\u3067\u3001\u3053\u306e\u307e\u307e\u3067\u306f\u7a4d\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u305b\u3093\u3002<\/p>\n\n\n\n \u305d\u3053\u3067\u5e95\u306e\u5909\u63db\u516c\u5f0f\u306e\u51fa\u756a\u3067\u3059\u3002<\/p>\n\n\n\n \\[\\displaystyle log_{3}4=\\frac{log_{2}4}{log_{2}3}=\\frac{2}{log_{2}3}\\]<\/p>\n\n\n\n \u5e95\u306e\u5909\u63db\u516c\u5f0f\u3092\u4f7f\u3048\u3070\u3001\u5e95\u3092\u8a08\u7b97\u306e\u90fd\u5408\u304c\u3088\u3044\u5024\u306b\u5909\u63db\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u306e\u3067\u3059\u3002<\/p>\n\n\n\n \u3053\u306e\u554f\u984c\u3067\u306f\u3001\u5bfe\u6570\u306e\u5e95\u30922\u306b\u5909\u63db\u3057\u3066\u7a4d\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n \\begin{eqnarray} \u3053\u306e\u3088\u3046\u306b\u5e95\u306e\u5909\u63db\u516c\u5f0f\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u5bfe\u6570\u306e\u8a08\u7b97\u304c\u30b9\u30e0\u30fc\u30ba\u306b\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n \u975e\u5e38\u306b\u91cd\u8981\u306a\u516c\u5f0f\u306a\u306e\u3067\u5fc5\u305a\u899a\u3048\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n\n\n \u5e95\u306e\u5909\u63db\u516c\u5f0f\u306b\u3064\u3044\u3066\u306f\u3001\u300c\u5e95\u306e\u5909\u63db\u516c\u5f0f\u306b\u3064\u3044\u3066\u89e3\u8aac\uff01\u8a3c\u660e\u3068\u5e95\u3092\u6c7a\u3081\u308b\u30b3\u30c4\u304c\u5206\u304b\u308b\uff01\u300d\u306b\u3066\u8a73\u3057\u304f\u89e3\u8aac\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n \u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u5f62\u306b\u3064\u3044\u3066\u8003\u3048\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n \u5bfe\u6570\u95a2\u6570\u3092\u30b0\u30e9\u30d5\u3067\u8868\u3059\u3068\u304d\u306f\u3001\u5e95\u306e\u5024\u306b\u6ce8\u610f<\/span>\u304c\u5fc5\u8981\u3067\u3059\u3002<\/p>\n\n\n\n \\(a>1\\)\u306e\u3068\u304d\u306f\u3001\u53f3\u4e0a\u304c\u308a\u306e\u30b0\u30e9\u30d5\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/span><\/p>\n\n\n \\(0<a<1\\)\u306e\u3068\u304d\u306f\u3001\u53f3\u4e0b\u304c\u308a\u306e\u30b0\u30e9\u30d5\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/span><\/p>\n\n\n \u6ed1\u3089\u304b\u306a\u66f2\u7dda\u306b\u306a\u308b\u3093\u3067\u3059\u306d\uff01<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n \u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u7279\u5fb4\u3092\u307e\u3068\u3081\u307e\u3057\u305f\u3002<\/p>\n\n\n\n \u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306e\u30dd\u30a4\u30f3\u30c8\u3084\u66f8\u304d\u65b9\u306f\u300c\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3068\u66f8\u304d\u65b93\u30b9\u30c6\u30c3\u30d7\u3092\u89e3\u8aac\uff01\u300d\u3067\u89e3\u8aac\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n \u5bfe\u6570\u95a2\u6570\u3092\u542b\u3080\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u65b9\u7a0b\u5f0f\u3092\u5bfe\u6570\u65b9\u7a0b\u5f0f<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n \\[log_{2}x=3\\]<\/p>\n\n\n\n \\[log_{4}x+log_{4}(x-6)=2\\]<\/p>\n<\/div><\/div>\n\n\n\n \u3053\u306e\u65b9\u7a0b\u5f0f\u3092\u6210\u308a\u7acb\u305f\u305b\u308b\\(x\\)\u3092\u6c42\u3081\u308b\u306e\u304c\u3001\u5bfe\u6570\u65b9\u7a0b\u5f0f\u306e\u4e3b\u306a\u554f\u984c\u3067\u3059\u3002<\/p>\n\n\n\n \u65b9\u7a0b\u5f0f\u304c\u9577\u304f\u306a\u308b\u3068\u96e3\u3057\u304f\u898b\u3048\u307e\u3059\u306d\u3002<\/p>\n\n\n \u305d\u3046\u3067\u3059\u3002\u3053\u3046\u3044\u3046\u306e\u304c\u82e6\u624b\u306a\u3093\u3067\u3059..<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n \u5bfe\u6570\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u306b\u306f\u3001\u4ee5\u4e0b\u306e\u5f62\u3092\u76ee\u6307\u3057\u3066\u5f0f\u5909\u5f62\u3092\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n \\(a>0,a\u22601\\)\u3067\u3001\\(M>0,N>0\\)\u306e\u3068\u304d<\/p>\n\n\n\n \\[log_{a}M=log_{a}N\\]<\/p>\n\n\n\n \u306a\u3089\u3070<\/p>\n\n\n\n \\[M=N\\]<\/p>\n<\/div><\/div>\n\n\n\n \u3064\u307e\u308a\u3001<\/p>\n\n\n\n \\[log_{2}x=log_{2}5\u21d2x=5\\]<\/p>\n\n\n\n \u3068\u3044\u3046\u308f\u3051\u3067\u3059\u3002<\/p>\n\n\n\n \u3068\u306f\u3044\u3048\u3001\u3053\u3093\u306a\u7c21\u5358\u306a\u554f\u984c\u306f\u305d\u3046\u305d\u3046\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n\n\n\n \u3069\u3093\u306a\u5bfe\u6570\u65b9\u7a0b\u5f0f\u306e\u554f\u984c\u3067\u3082\u3001\u4ee5\u4e0b\u306e5\u30b9\u30c6\u30c3\u30d7\u3067\u89e3\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n\n\n\n \u307e\u305f\u3001\u5bfe\u6570\u65b9\u7a0b\u5f0f\u306e\u554f\u984c\u306f\u4ee5\u4e0b\u306e4\u7a2e\u985e\u306b\u5206\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n\n\n\n \u5bfe\u6570\u95a2\u6570\u3092\u542b\u3080\u4e0d\u7b49\u5f0f\u3092\u5bfe\u6570\u4e0d\u7b49\u5f0f<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n \\[log_{2}x>3\\]<\/p>\n\n\n\n \\[2log_{3}(2-x)<log_{3}(x+4)\\]<\/p>\n<\/div><\/div>\n\n\n\n \u3053\u306e\u4e0d\u7b49\u5f0f\u3092\u6e80\u305f\u3059\\(x\\)\u306e\u5909\u57df\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n \u5bfe\u6570\u4e0d\u7b49\u5f0f\u3092\u89e3\u304f\u3068\u304d\u306f\u3001\u771f\u6570\u6761\u4ef6\u3068\u5e95\\(a\\)\u306e\u5024\u306b\u6ce8\u610f\u3057\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n\n\n\n \\(y=log_{a}x\\)\u306b\u304a\u3044\u3066\u3001\u771f\u6570\\(x\\)\u306f\u6b63\u306e\u6570\u3067\u3042\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n \\(b\\)\u306e\u90e8\u5206\u304c\u6b63\u3067\u3042\u308b\u3053\u3068\u306f\u5fc5\u305a\u78ba\u8a8d\u3059\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n \u307e\u305f\u3001\u771f\u6570\u6761\u4ef6\u3068\u3042\u308f\u305b\u3066\u3001\u5e95\\(a\\)\u306e\u5024\u306b\u3082\u6ce8\u610f\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n \\(a>0.a\u22601,x>0\\)\u306b\u304a\u3044\u3066\u3001<\/p>\n\n\n\n \\(a>1\\)\u306a\u3089\u3070\u3001\\(y=log_{a}x\\)\u306f\u5897\u52a0\u95a2\u6570\u306a\u306e\u3067<\/p>\n\n\n\n \\[log_{a}m<log_{a}n \\Leftrightarrow m<n\\]<\/p>\n\n\n\n \\(0<a<1\\)\u306a\u3089\u3070\u3001\\(y=log_{a}x\\)\u306f\u6e1b\u5c11\u95a2\u6570\u306a\u306e\u3067<\/p>\n\n\n\n \\[log_{a}m<log_{a}n \\Leftrightarrow m>n\\]<\/p>\n<\/div><\/div>\n\n\n\n \\(a>1\\)\u306e\u3068\u304d\u306f\u3001\u30b0\u30e9\u30d5\u304c\u53f3\u80a9\u4e0a\u304c\u308a\u306a\u306e\u3067\\(log_{a}m<log_{a}n\\)\u306e\u3068\u304d\u3001\\(m<n\\)\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n\n\n \\(a>1\\)\u306e\u3068\u304d\u3001<\/p>\n\n\n\n \\[alog_{a}m<log_{a}n \\Leftrightarrow m<n\\]<\/p>\n<\/div><\/div>\n\n\n\n \u3057\u304b\u3057\u3001\\(0<a<1\\)\u306e\u3068\u304d\u306f\u30b0\u30e9\u30d5\u306e\u53f3\u80a9\u4e0b\u304c\u308a\u306b\u306a\u308b\u306e\u3067\u4e0d\u7b49\u53f7\u306e\u5411\u304d\u304c\u9006<\/span>\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n \\(0<a<1\\)\u306e\u3068\u304d\u3001<\/p>\n\n\n\n \\[log_{a}m<log_{a}n \\Leftrightarrow m>n\\]<\/p>\n<\/div><\/div>\n\n\n\n \u4e0d\u7b49\u5f0f\u3092\u89e3\u3044\u305f\u3089\u3001\\(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\n \u304b\u306a\u308a\u91cd\u8981\u306a\u3053\u3068\u306a\u306e\u3067\u3001\u5bfe\u6570\u4e0d\u7b49\u5f0f\u304c\u82e6\u624b\u306a\u65b9\u306f\u4ee5\u4e0b\u306e\u8a18\u4e8b\u3092\u5fc5\u305a\u8aad\u3080\u3088\u3046\u306b\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\n\n\n\n \u300a\u3068\u3042\u308b\u7537\u304c\u6388\u696d\u3092\u3057\u3066\u307f\u305f\u300b
\u300c\u6307\u6570\u30fb\u5bfe\u6570\u306e\u7dcf\u5fa9\u7fd2\u304c\u3057\u305f\u3044\u300d<\/span>
\u4eca\u56de\u306f\u6307\u6570\u95a2\u6570\u3068\u5bfe\u6570\u95a2\u6570\u306b\u95a2\u3059\u308b\u3053\u3093\u306a\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002<\/p>\n\n\n
\u9ad8\u6821\u751f<\/span><\/div>\u6307\u6570\u95a2\u6570<\/h2>\n\n\n\n
<\/figure>\n<\/div>\n\n\n\u6307\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u306f\u3069\u3093\u306a\u5f62\uff1f<\/h3>\n\n\n\n
<\/figure>\n<\/div>\n\n\n\n
<\/figure>\n<\/div>\n\n\n\n
\u6307\u6570\u306e\u8a08\u7b97\u516c\u5f0f<\/h3>\n\n\n\n
\n
\n
\u6307\u6570\u65b9\u7a0b\u5f0f<\/h3>\n\n\n\n
\n
\u6307\u6570\u4e0d\u7b49\u5f0f<\/h3>\n\n\n\n
2^{x}&\u2267&8\\\\
\\displaystyle \\left(\\frac{1}{3}\\right)^{x+1}&<&\\left(\\frac{1}{9}\\right)^{x}
\\end{eqnarray}<\/p>\n<\/div><\/div>\n\n\n\n\n
\u5bfe\u6570\u95a2\u6570<\/h2>\n\n\n\n
\u5bfe\u6570log\u3068\u306f\uff1f<\/h3>\n\n\n\n
\u30b7\u30fc\u30bf<\/span><\/div>
<\/figure>\n<\/div>\n\n\n\u5bfe\u6570\u306e\u6027\u8cea<\/h3>\n\n\n\n
\u5e95\u306e\u5909\u63db\u516c\u5f0f<\/h3>\n\n\n\n
\\displaystyle log_{2}3 \\cdot log_{3}4&=&log_{2}3 \\cdot \\frac{2}{log_{2}3}\\\\
&=&2
\\end{eqnarray}<\/p>\n\n\n\n
<\/figure>\n<\/div>\n\n\n\u5bfe\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5<\/h3>\n\n\n\n
<\/figure>\n<\/div>\n\n\n
<\/figure>\n<\/div>\n\n
\u9ad8\u6821\u751f<\/span><\/div>\n
\u5bfe\u6570\u95a2\u6570\u306e\u65b9\u7a0b\u5f0f<\/h3>\n\n\n\n
\u9ad8\u6821\u751f<\/span><\/div>\n
\n
\u5bfe\u6570\u95a2\u6570\u306e\u4e0d\u7b49\u5f0f<\/h3>\n\n\n\n
<\/figure>\n<\/div>\n\n\n
<\/figure>\n<\/div>\n\n\n
<\/figure>\n<\/div>\n\n\n\u304a\u3059\u3059\u3081\u52d5\u753b<\/h2>\n\n\n\n
\u3010\uff12\u6b21\u95a2\u6570\u30fb\uff12\u6b21\u65b9\u7a0b\u5f0f\u30fb\uff12\u6b21\u4e0d\u7b49\u5f0f\u3011\u518d\u751f\u30ea\u30b9\u30c8<\/p>\n\n\n\n