{"id":6652,"date":"2025-12-24T17:21:06","date_gmt":"2025-12-24T08:21:06","guid":{"rendered":"https:\/\/math-travel.com\/?p=6652"},"modified":"2026-02-11T17:24:28","modified_gmt":"2026-02-11T08:24:28","slug":"taisuu-houteishiki","status":"publish","type":"post","link":"https:\/\/math-travel.jp\/math-2\/taisuu-houteishiki\/","title":{"rendered":"\u5bfe\u6570\u65b9\u7a0b\u5f0f\u306e\u89e3\u304d\u65b9\uff01\u30df\u30b9\u3092\u9632\u3050\u300c\u771f\u6570\u6761\u4ef6\u300d\u3068\u300c\u5e95\u306e\u6761\u4ef6\u300d\u306e\u78ba\u8a8d\u624b\u9806"},"content":{"rendered":"\n
\n

\u300c\u5bfe\u6570\u65b9\u7a0b\u5f0f\u306e\u89e3\u304d\u65b9\u304c\u5206\u304b\u3089\u306a\u3044\u300d<\/p>\n\n\n\n

\u300c\u89e3\u304d\u65b9\u306e\u30d1\u30bf\u30fc\u30f3\u304c\u77e5\u308a\u305f\u3044\u300d<\/p>\n<\/div><\/div>\n\n\n\n

\u5bfe\u6570\u306e\u65b9\u7a0b\u5f0f\u304c\u89e3\u3051\u306a\u3044\u65b9\u306f\u5fc5\u898b\uff01<\/span><\/p>\n\n\n\n

\u4eca\u56de\u306f\u5bfe\u6570\u65b9\u7a0b\u5f0f\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>
\n

\u65b9\u7a0b\u5f0f\u306b\u5bfe\u6570log\u304c\u3042\u3063\u3066\u56f0\u3063\u3066\u307e\u3059\u2026<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

\u4ee5\u4e0b\u306e\u3088\u3046\u306alog\u3092\u542b\u3080\u65b9\u7a0b\u5f0f\u3092\u5bfe\u6570\u65b9\u7a0b\u5f0f<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\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

\u898b\u305f\u76ee\u304c\u96e3\u3057\u305d\u3046\u306a\u306e\u3067\u3001\u89e3\u304f\u524d\u304b\u3089\u5acc\u306a\u6c17\u6301\u3061\u304c\u6e67\u3044\u3066\u304d\u307e\u3059\u3088\u306d\u3002<\/p>\n\n\n

\n
\"\u60a9\u3080\u5b66\u751f\"<\/figure>\n<\/div>\n\n\n

\u5b9f\u306f\u5bfe\u6570\u65b9\u7a0b\u5f0f\u306e\u554f\u984c\u306f\u5927\u304d\u304f4\u7a2e\u985e<\/span>\u306b\u5206\u304b\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n

\u305d\u306e\u89e3\u304d\u65b9\u3055\u3048\u7406\u89e3\u3057\u3066\u304a\u3051\u3070\u3001\u5bfe\u6570\u65b9\u7a0b\u5f0f\u306e\u307b\u3068\u3093\u3069\u306e\u554f\u984c\u304c\u89e3\u3051\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

\u672c\u8a18\u4e8b\u3067\u306f\u5bfe\u6570\u65b9\u7a0b\u5f0f\u306e\u89e3\u304d\u65b9\u3068\u6ce8\u610f\u70b9\u3092\u89e3\u8aac<\/span>\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n

\u4f8b\u984c\u306e\u89e3\u8aac\u3068\u3042\u308f\u305b\u3066\u3001\u7df4\u7fd2\u554f\u984c\u3082\u3042\u308b\u306e\u3067\u305c\u3072\u6700\u5f8c\u307e\u3067\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n

\"\"\u30b7\u30fc\u30bf<\/span><\/div>
\n

\u6c17\u306b\u306a\u308b\u898b\u51fa\u3057\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u3001
\u305c\u3072\u6700\u5f8c\u307e\u3067\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

\u5bfe\u6570\u65b9\u7a0b\u5f0f\u3068\u306f\uff1f<\/h2>\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

\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\u554f\u984c\u3067\u3059\u3002<\/p>\n\n\n\n

\\[log_{3}x+log_{3}(x-1)=12\\]<\/p>\n\n\n\n

\u3053\u306e\u3088\u3046\u306b\u65b9\u7a0b\u5f0f\u304c\u9577\u3044\u3068\u96e3\u3057\u304f\u898b\u3048\u307e\u3059\u306d\u3002<\/p>\n\n\n

\"\"\u9ad8\u6821\u751f<\/span><\/div>
\n

\u3053\u3046\u3044\u3046\u306e\u304c\u82e6\u624b\u306a\u3093\u3067\u3059\u2026<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

\u5bfe\u6570\u65b9\u7a0b\u5f0f\u306e\u89e3\u304d\u65b9<\/h2>\n\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

\u5bfe\u6570\u65b9\u7a0b\u5f0f\u306e\u89e3\u304d\u65b9<\/span><\/div>
\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\\)\u306a\u3089\u3070\u3001\\(x=5\\)\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

\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e5\u30b9\u30c6\u30c3\u30d7\u3067\u5bfe\u6570\u65b9\u7a0b\u5f0f\u3092\u89e3\u304d\u307e\u3059\u3002<\/span><\/p>\n\n\n\n

\u5bfe\u6570\u65b9\u7a0b\u5f0f\u306e\u89e3\u304d\u65b9<\/span><\/div>
\n
    \n
  1. \u771f\u6570\u6761\u4ef6\u3068\u5e95\u306e\u6761\u4ef6\u3092\u78ba\u8a8d<\/li>\n\n\n\n
  2. \u4e21\u8fba\u306e\u5e95\u3092\u540c\u3058\u306b\u3059\u308b<\/li>\n\n\n\n
  3. \u771f\u6570\u3092\u30a4\u30b3\u30fc\u30eb\u3067\u3080\u3059\u3076<\/li>\n\n\n\n
  4. \u65b9\u7a0b\u5f0f\u3092\u89e3\u304f<\/li>\n\n\n\n
  5. \u89e3\u3068\u6761\u4ef6\u3092\u78ba\u8a8d\u3057\u3066\u5b8c\u4e86<\/li>\n<\/ol>\n<\/div><\/div>\n\n\n\n

    \u3053\u306e5\u30b9\u30c6\u30c3\u30d7\u3092\u8e0f\u3093\u3067\u3044\u3051\u3070\u3001\u3069\u3093\u306a\u5bfe\u6570\u65b9\u7a0b\u5f0f\u3067\u3082\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n

    \u3053\u306e\u3042\u30684\u3064\u306e\u4f8b\u984c\u3067\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u304c\u3001\u305d\u306e\u524d\u306b\u5bfe\u6570\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3068\u304d\u306e\u6ce8\u610f\u70b9\u3092\u77e5\u3063\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

    \u771f\u6570\u6761\u4ef6\u3068\u5e95\u306e\u6761\u4ef6\u306b\u6ce8\u610f<\/h2>\n\n\n\n

    \u5bfe\u6570\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3068\u304d\u306b\u6ce8\u610f\u3057\u3066\u6b32\u3057\u3044\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002
    \u305d\u308c\u306f\u771f\u6570\u6761\u4ef6\u3068\u5e95\u306e\u6761\u4ef6\u306e\u78ba\u8a8d<\/span>\u3067\u3059\u3002<\/p>\n\n\n\n

    \u6ce8\u610f\u30dd\u30a4\u30f3\u30c8<\/span><\/div>
    \n
      \n
    • \u771f\u6570\u6761\u4ef6<\/li>\n\n\n\n
    • \u5e95\u306e\u6761\u4ef6<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n

      \\(log_{a}b\\)\u306b\u304a\u3051\u308b\u3001\\(b\\)\u3092\u771f\u6570\uff08\u3057\u3093\u3059\u3046\uff09<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n

      \u771f\u6570\u306f\u3069\u3093\u306a\u3068\u304d\u3082\u6b63\u306e\u6570\u3067\u3042\u308a\u3001\u3053\u306e\u6761\u4ef6\u3092\u771f\u6570\u6761\u4ef6<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n

      \n
      \"\u771f\u6570\u6761\u4ef6\"<\/figure>\n<\/div>\n\n\n

      \u307e\u305f\u3001\u5e95\\(a\\)\u306b\u3082\u6761\u4ef6\u304c\u3042\u308a\u3001\\(a>0,a\u22601\\)\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n\n\n\n

      \u5e95\u306e\u6761\u4ef6<\/span><\/div>
      \n

      \\(log_{a}b\\)\u306b\u304a\u3044\u3066\u3001\\(a>0,a\u22601\\)\u3067\u3042\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n

      \u771f\u6570\u6761\u4ef6\u3068\u5e95\u306e\u6761\u4ef6\u306e\u3053\u3068\u3092\u5fd8\u308c\u308b\u3068\u3001\u6b63\u3057\u3044\u65b9\u7a0b\u5f0f\u306e\u89e3\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u305b\u3093\u3002<\/p>\n\n\n\n

      \u5bfe\u6570\u65b9\u7a0b\u5f0f\u3084\u5bfe\u6570\u4e0d\u7b49\u5f0f\u3092\u89e3\u304f\u3068\u304d\u306f\u3001\u307e\u305a\u6761\u4ef6\u306e\u78ba\u8a8d\u3092\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n

      \"\"\u9ad8\u6821\u751f<\/span><\/div>
      \n

      \u307c\u304f\u3082\u6761\u4ef6\u3092\u78ba\u8a8d\u3057\u5fd8\u308c\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n

      \"\"\u30b7\u30fc\u30bf<\/span><\/div>
      \n

      \u521d\u3081\u306b\u78ba\u8a8d\u3059\u308b\u30af\u30bb\u3092\u3064\u3051\u3088\u3046<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

      \u305d\u308c\u3067\u306f\u5bfe\u6570\u65b9\u7a0b\u5f0f\u306e\u89e3\u304d\u65b9\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

      \u5bfe\u6570\u65b9\u7a0b\u5f0f\u306e\u554f\u984c\u306f\u5927\u304d\u304f4\u3064\u306e\u7a2e\u985e\u306b\u5206\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n\n\n\n

      \u5bfe\u6570\u65b9\u7a0b\u5f0f\u306e\u554f\u984c<\/span><\/div>
      \n
        \n
      • \u57fa\u672c\u306e\u554f\u984c<\/li>\n\n\n\n
      • \u5e95\u3092\u305d\u308d\u3048\u308b\u554f\u984c<\/li>\n\n\n\n
      • \u7f6e\u304d\u63db\u3048\u308b\u554f\u984c<\/li>\n\n\n\n
      • \u5e95\u306b\u6587\u5b57\u3092\u542b\u3080\u554f\u984c<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n
        \"\"\u30b7\u30fc\u30bf<\/span><\/div>
        \n

        \u3069\u306e\u554f\u984c\u3082\u91cd\u8981\u306a\u306e\u3067\u8981\u30c1\u30a7\u30c3\u30af\u3067\u3059\uff01<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

        \u57fa\u672c\u306e\u554f\u984c<\/h3>\n\n\n\n

        \u307e\u305a\u306f\u5bfe\u6570\u65b9\u7a0b\u5f0f\u306e\u57fa\u672c\u554f\u984c\u3067\u3059\u3002<\/p>\n\n\n\n

        \u3053\u308c\u3089\u306e\u554f\u984c\u306f\u5fc5\u305a\u89e3\u3051\u308b\u3088\u3046\u306b\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

        \u5bfe\u6570\u65b9\u7a0b\u5f0f\u2460<\/span><\/div>
        \n

        \u6b21\u306e\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n

        \\[log_{2}x=4\\]<\/p>\n<\/div><\/div>\n\n\n\n

        \u307e\u305a\u771f\u6570\u6761\u4ef6\u3088\u308a\u3001\\(x>0 \\cdots \u2460\\)<\/p>\n\n\n\n

        \u4e21\u8fba\u3092\u5bfe\u6570\u3067\u8868\u3057\u307e\u3059\u3002<\/p>\n\n\n\n

        \\begin{eqnarray}
        log_{2}x&=&4\\\\
        log_{2}x&=&log_{2}2^{4}\\\\
        log_{2}x&=&log_{2}16
        \\end{eqnarray}<\/p>\n\n\n\n

        \u4e21\u8fba\u306e\u771f\u6570\u3092\u6bd4\u8f03\u3057\u3066\u3001<\/p>\n\n\n\n

        \\[x=16 \\cdots \u2461\\]<\/p>\n\n\n\n

        \u2460,\u2461\u3088\u308a\u3001\\(x=16\\)<\/p>\n\n\n\n

        \u5bfe\u6570\u65b9\u7a0b\u5f0f\u2460<\/span><\/div>
        \n

        \u6b21\u306e\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n

        \\[log_{3}x+log_{3}(x-1)=12\\]<\/p>\n<\/div><\/div>\n\n\n\n

        \u771f\u6570\u6761\u4ef6\u3088\u308a\u3001\\(x>0\\)\u304b\u3064\\(x-2>0\\)<\/p>\n\n\n\n

        \u3057\u305f\u304c\u3063\u3066\u3001\\(x>2 \\cdots \u2460\\)<\/p>\n\n\n\n

        \u5bfe\u6570\u6cd5\u5247\u3088\u308a\u3001<\/p>\n\n\n\n

        \\begin{eqnarray}
        log_{2}x+log_{2}(x-2)&=&3\\\\
        log_{2}x(x-2)&=&log_{2}8
        \\end{eqnarray}<\/p>\n\n\n\n

        \u4e21\u8fba\u306e\u771f\u6570\u3092\u6bd4\u8f03\u3057\u3066\u3001<\/p>\n\n\n\n

        \\begin{eqnarray}
        x(x-2)&=&8\\\\
        x^{2}-2x-8&=&0\\\\
        (x-4)(x+2)&=&0
        \\end{eqnarray}<\/p>\n\n\n\n

        \u3088\u3063\u3066\u3001\\(x=-2,4 \\cdots \u2461\\)<\/p>\n\n\n\n

        \u2460,\u2461\u3088\u308a\u3001\\(x=4\\)<\/p>\n\n\n\n

        \u5e95\u3092\u305d\u308d\u3048\u308b\u554f\u984c<\/h3>\n\n\n\n

        \u4e21\u8fba\u306e\u5e95\u304c\u7570\u306a\u308b\u65b9\u7a0b\u5f0f\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

        \u5bfe\u6570\u65b9\u7a0b\u5f0f\u2461<\/span><\/div>
        \n

        \u6b21\u306e\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n

        \\[log_{2}(x-3)=log_{4}(2x-3)\\]<\/p>\n<\/div><\/div>\n\n\n\n

        \u771f\u6570\u6761\u4ef6\u3088\u308a\u3001\\(x-3>0\\)\u304b\u3064\\(2x-3>0\\)<\/p>\n\n\n\n

        \u3057\u305f\u304c\u3063\u3066\u3001\\(x>3 \\cdots \u2460\\)<\/p>\n\n\n\n

        \u5e95\u306e\u5909\u63db\u516c\u5f0f\u3092\u4f7f\u3063\u3066\u3001\u5e95\u30922\u3067\u305d\u308d\u3048\u307e\u3059\u3002<\/p>\n\n\n\n

        \\begin{eqnarray}
        log_{2}(x-3)&=&log_{4}(2x-3)\\\\
        \\displaystyle log_{2}(x-3)&=&\\frac{log_{2}(2x-3)}{log_{2}4}\\\\
        \\displaystyle log_{2}(x-3)&=&\\frac{log_{2}(2x-3)}{2}\\\\
        \\end{eqnarray}<\/p>\n\n\n\n

        \u3053\u308c\u3067\u4e21\u8fba\u306e\u5e95\u3092\u305d\u308d\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n\n\n\n

        \\begin{eqnarray}
        \\displaystyle 2log_{2}(x-3)&=&log_{2}(2x-3)\\\\
        (x-3)^{2}&=&2x-3\\\\
        x^{2}-8x+12&=&0\\\\
        (x-2)(x-6)&=&0
        \\end{eqnarray}<\/p>\n\n\n\n

        \u3088\u3063\u3066\u3001\\(x=2,6 \\cdots \u2461\\)<\/p>\n\n\n\n

        \u2460,\u2461\u3088\u308a\u3001\\(x=6\\)<\/p>\n\n\n\n

        \u7f6e\u304d\u63db\u3048\u308b\u554f\u984c<\/h3>\n\n\n\n

        \u6b21\u306f\u7f6e\u304d\u63db\u3048\u3092\u4f7f\u3063\u305f\u89e3\u304d\u65b9\u3092\u89e3\u8aac\u3057\u307e\u3059\u3002<\/p>\n\n\n\n

        \u5bfe\u6570\u65b9\u7a0b\u5f0f\u2462<\/span><\/div>
        \n

        \u6b21\u306e\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n

        \\[(log_{2}x)^{2}-2log_{2}x-8=0\\]<\/p>\n<\/div><\/div>\n\n\n\n

        \u307e\u305a\u771f\u6570\u6761\u4ef6\u3088\u308a\u3001\\(x>0 \\cdots \u2460\\)<\/p>\n\n\n\n

        \\(log_{2}x=X\\)\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n

        \\[X^{2}-2X-8=0\\]<\/p>\n\n\n\n

        \u3053\u308c\u3092\u89e3\u304f\u3068\u3001<\/p>\n\n\n\n

        \\begin{eqnarray}
        X^{2}-2X-8&=&0\\\\
        (X-4)(X+2)&=&0\\\\
        X&=&-2,4
        \\end{eqnarray}<\/p>\n\n\n\n

        \u3088\u3063\u3066\u3001\\(log_{2}x=-2,4\\)<\/p>\n\n\n\n

        \u3059\u306a\u308f\u3061\u3001\\(\\displaystyle x=\\frac{1}{4},16 \\cdots \u2461\\)<\/p>\n\n\n\n

        \u2460,\u2461\u3088\u308a\u3001\\(\\displaystyle x=\\frac{1}{4},16 \\cdots \u2461\\)<\/p>\n\n\n\n

        \u5e95\u306b\u6587\u5b57\u304c\u3042\u308b\u554f\u984c<\/h3>\n\n\n\n

        \u5e95\u306b\u6587\u5b57\u304c\u3042\u308b\u5834\u5408\u3067\u3082\u3001\u5e95\u306e\u5909\u63db\u516c\u5f0f\u3092\u4f7f\u3048\u3070\u554f\u984c\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n\n\n\n

        \u5bfe\u6570\u65b9\u7a0b\u5f0f\u2463<\/span><\/div>
        \n

        \u6b21\u306e\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n

        \\[log_{2}x+3log_{x}2=4\\]<\/p>\n<\/div><\/div>\n\n\n\n

        \u771f\u6570\u6761\u4ef6\u3088\u308a\u3001\\(x>0 \\cdots \u2460\\)<\/p>\n\n\n\n

        \u5e95\u306e\u6761\u4ef6\u3088\u308a\u3001\\(x>0,x\u22601 \\cdot \u2461\\)<\/p>\n\n\n\n

        \\begin{eqnarray}
        log_{2}x+3log_{x}2&=&4\\\\
        \\displaystyle log_{2}x+3 \\cdot \\frac{log_{2}2}{log_{2}x}&=&4\\\\
        \\displaystyle log_{2}x+\\frac{3}{log_{2}x}&=&4\\\\
        \\end{eqnarray}<\/p>\n\n\n\n

        \\(log_{2}x=X\\)\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n

        \\begin{eqnarray}
        \\displaystyle X-\\frac{3}{X}&=&4\\\\
        X^{2}+3&=&4X\\\\
        X^{2}-4X+3&=&0\\\\
        (X-1)(X-3)&=&0
        \\end{eqnarray}<\/p>\n\n\n\n

        \u3088\u3063\u3066\u3001\\(log_{2}x=1,3\\)<\/p>\n\n\n\n

        \u3059\u306a\u308f\u3061\u3001\\(x=2,8 \\cdots \u2462\\)<\/p>\n\n\n\n

        \u2460,\u2461,\u2462\u3088\u308a\u3001\\(x=2,8\\)<\/p>\n\n\n\n

        \u5bfe\u6570\u65b9\u7a0b\u5f0f\u3010\u7df4\u7fd2\u554f\u984c\u3011<\/h2>\n\n\n
        \n
        \"\u7df4\u7fd2\u554f\u984c\"<\/figure>\n<\/div>\n\n\n

        \u5bfe\u6570\u65b9\u7a0b\u5f0f\u306e\u7df4\u7fd2\u554f\u984c\u306b\u6311\u6226\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n

        \u4ee5\u4e0b\u304c\u4eca\u56de\u306e\u7df4\u7fd2\u554f\u984c\u3067\u3059\u3002<\/p>\n\n\n\n

        \u7df4\u7fd2\u554f\u984c<\/span><\/div>
        \n

        \u6b21\u306e\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n

        (1)\\(log_{2}(x-2)+log_{2}(x-3)=1\\)<\/p>\n\n\n\n

        (2)\\(log_{2}(x+2)=log_{\\frac{1}{4}}(x-3)\\)<\/p>\n\n\n\n

        (3)\\((log_{2}x)^{2}-3log_{2}x-10=0\\)<\/p>\n<\/div><\/div>\n\n\n

        \"\"\u30b7\u30fc\u30bf<\/span><\/div>
        \n

        \u89e3\u304d\u65b9\u3092\u30a4\u30e1\u30fc\u30b8\u3059\u308b\u3060\u3051\u3067\u3082\u30aa\u30c3\u30b1\u30fc\uff01<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

        \u7df4\u7fd2\u554f\u984c1\u306e\u89e3\u8aac<\/h3>\n\n\n\n
        \u7df4\u7fd2\u554f\u984c1<\/span><\/div>
        \n

        \u6b21\u306e\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n

        (1)\\(log_{2}(x-2)+log_{2}(x-3)=1\\)<\/p>\n<\/div><\/div>\n\n\n\n

        \u3053\u308c\u306f\u5bfe\u6570\u6cd5\u5247\u3092\u3064\u304b\u3046\u57fa\u672c\u306e\u554f\u984c\u3067\u3059\u3002<\/p>\n\n\n\n

        \u771f\u6570\u6761\u4ef6\u3088\u308a\u3001\\(x-2>0\\)\u304b\u3064\\(x-3>0\\)<\/p>\n\n\n\n

        \u3059\u306a\u308f\u3061\u3001\\(x>3 \\cdots \u2460\\)<\/p>\n\n\n\n

        \\begin{eqnarray}
        log_{2}(x-2)+log_{2}(x-3)&=&1\\\\
        log_{2}(x-2)(x-3)&=&log_{2}2\\\\
        log_{2}(x^{2}-5x+6)&=&log_{2}2
        \\end{eqnarray}<\/p>\n\n\n\n

        \u771f\u6570\u90e8\u5206\u306e\u7b49\u5f0f\u3092\u8003\u3048\u3066\u3001<\/p>\n\n\n\n

        \\begin{eqnarray}
        x^{2}-5x+6&=&2\\\\
        x^{2}-5x+4&=&0\\\\
        (x-1)(x-4)&=&0
        \\end{eqnarray}<\/p>\n\n\n\n

        \u3088\u3063\u3066\u3001\\(x=1,4 \\cdots \u2461\\)<\/p>\n\n\n\n

        \u2460,\u2461\u3088\u308a\u3001\\(x=4\\)<\/p>\n\n\n

        \"\"\u9ad8\u6821\u751f<\/span><\/div>
        \n

        \u3053\u308c\u306a\u3089\u89e3\u3051\u308b\u6c17\u304c\u3057\u307e\u3059\uff01<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

        \u7df4\u7fd2\u554f\u984c2\u306e\u89e3\u8aac<\/h3>\n\n\n\n
        \u7df4\u7fd2\u554f\u984c2<\/span><\/div>
        \n

        \u6b21\u306e\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n

        (2)\\(log_{2}(x+2)=log_{4}(x-3)\\)<\/p>\n<\/div><\/div>\n\n\n\n

        \u771f\u6570\u6761\u4ef6\u3088\u308a\u3001\\(x+2>0\\)\u304b\u3064\\(x-3>0\\)<\/p>\n\n\n\n

        \u3088\u3063\u3066\u3001\\(x>3 \\cdots \u2460\\)<\/p>\n\n\n\n

        \\begin{eqnarray}
        log_{2}(x+2)&=&log_{4}(x-3)\\\\
        \\displaystyle\u3000log_{2}(x+2)&=&\\frac{log_{2}(x-3)}{log_{2}4}\\\\
        \\displaystyle log_{2}(x+2)&=&\\frac{1}{2}log_{2}(x-3)\\\\
        2log_{2}(x+2)&=&log_{2}(x-3)
        \\end{eqnarray}<\/p>\n\n\n\n

        \u5bfe\u6570\u306e\u6027\u8cea\u3088\u308a\u3001<\/p>\n\n\n\n

        \\[(x+4)^{2}=x+3\\]<\/p>\n\n\n\n

        \u3053\u308c\u3092\u89e3\u304f\u3068\u3001<\/p>\n\n\n\n

        \\begin{eqnarray}
        x^{2}+8x+16=x+3\\\\
        x^{2}+7x+
        \\end{eqnarray}<\/p>\n\n\n\n

        \u7df4\u7fd2\u554f\u984c3\u306e\u89e3\u8aac<\/h3>\n\n\n\n
        \u7df4\u7fd2\u554f\u984c3<\/span><\/div>
        \n

        \u6b21\u306e\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u3066\u307f\u3088\u3046\u3002<\/p>\n\n\n\n

        (3)\\((log_{2}x)^{2}-3log_{2}x-10=0\\)<\/p>\n<\/div><\/div>\n\n\n\n

        \u771f\u6570\u6761\u4ef6\u3088\u308a\u3001\\(x>0 \\cdots \u2460\\)<\/p>\n\n\n\n

        \\(log_{2}x=X\\)\u3068\u3059\u308b\u3068\u3001<\/p>\n\n\n\n

        \\begin{eqnarray}
        X^{2}-3X-10&=&0\\\\
        (X-5)(x+2)&=&0
        \\end{eqnarray}<\/p>\n\n\n\n

        \u3088\u3063\u3066\u3001\\(X=-2,5\\)<\/p>\n\n\n\n

        \u3059\u306a\u308f\u3061\u3001\\(log_{2}x=-2,5\\)<\/p>\n\n\n\n

        \u3057\u305f\u304c\u3063\u3066\u3001<\/p>\n\n\n\n

        \\[x=\\frac{1}{4},32 \\cdots \u2461\\]<\/p>\n\n\n\n

        \u2460,\u2461\u3088\u308a\u3001\\(x=\\frac{1}{4},32\\)<\/p>\n\n\n

        \"\"\u9ad8\u6821\u751f<\/span><\/div>
        \n

        \u5bfe\u6570\u30921\u3064\u306e\u584a\u3068\u3057\u3066\u8003\u3048\u308b\u3093\u3067\u3059\u306d\uff01<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n

        \"\"\u30b7\u30fc\u30bf<\/span><\/div>
        \n

        \u305d\u3046\u3044\u3046\u3053\u3068\uff01\u306a\u306e\u3067\u3001\u7f6e\u304d\u63db\u3048\u305f\u65b9\u304c\u898b\u3084\u3059\u3044\u306d\uff01<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

        \u5bfe\u6570\u65b9\u7a0b\u5f0f\u3000\u307e\u3068\u3081<\/h2>\n\n\n\n

        \u4eca\u56de\u306f\u5bfe\u6570\u65b9\u7a0b\u5f0f\u306e\u89e3\u304d\u65b9\u306b\u3064\u3044\u3066\u307e\u3068\u3081\u307e\u3057\u305f\u3002<\/span><\/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<\/p>\n\n\n\n

        \u5bfe\u6570\u65b9\u7a0b\u5f0f\u306e\u89e3\u304d\u65b9<\/span><\/div>
        \n
          \n
        1. \u771f\u6570\u6761\u4ef6\u3068\u5e95\u306e\u6761\u4ef6\u3092\u78ba\u8a8d<\/li>\n\n\n\n
        2. \u4e21\u8fba\u306e\u5e95\u3092\u540c\u3058\u306b\u3059\u308b<\/li>\n\n\n\n
        3. \u771f\u6570\u3092\u30a4\u30b3\u30fc\u30eb\u3067\u3080\u3059\u3076<\/li>\n\n\n\n
        4. \u65b9\u7a0b\u5f0f\u3092\u89e3\u304f<\/li>\n\n\n\n
        5. \u89e3\u3068\u6761\u4ef6\u3092\u78ba\u8a8d\u3057\u3066\u5b8c\u4e86<\/li>\n<\/ol>\n<\/div><\/div>\n\n\n\n

          \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\u65b9\u7a0b\u5f0f\u306e\u554f\u984c<\/span><\/div>
          \n
            \n
          • \u57fa\u672c\u306e\u554f\u984c<\/li>\n\n\n\n
          • \u5e95\u3092\u305d\u308d\u3048\u308b\u554f\u984c<\/li>\n\n\n\n
          • \u7f6e\u304d\u63db\u3048\u308b\u554f\u984c<\/li>\n\n\n\n
          • \u5e95\u306b\u6587\u5b57\u3092\u542b\u3080\u554f\u984c<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n

            \u5bfe\u6570\u65b9\u7a0b\u5f0f\u306b\u306f\u3082\u3063\u3068\u8907\u96d1\u306a\u554f\u984c\u3082\u3042\u308a\u307e\u3059\u304c\u3001\u4eca\u56de\u7d39\u4ecb\u3057\u305f4\u3064\u306e\u89e3\u304d\u65b9\u3092\u899a\u3048\u3066\u304a\u3051\u3070\u5341\u5206\u3067\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

            \u300c\u5bfe\u6570\u65b9\u7a0b\u5f0f\u306e\u89e3\u304d\u65b9\u304c\u5206\u304b\u3089\u306a\u3044\u300d \u300c\u89e3\u304d\u65b9\u306e\u30d1\u30bf\u30fc\u30f3\u304c\u77e5\u308a\u305f\u3044\u300d \u5bfe\u6570\u306e\u65b9\u7a0b\u5f0f\u304c\u89e3\u3051\u306a\u3044\u65b9\u306f\u5fc5\u898b\uff01 \u4eca\u56de\u306f\u5bfe\u6570\u65b9\u7a0b\u5f0f\u306b\u95a2\u3059\u308b\u3053\u3093\u306a\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002 \u4ee5\u4e0b\u306e\u3088\u3046\u306alog\u3092\u542b\u3080\u65b9\u7a0b\u5f0f\u3092\u5bfe\u6570\u65b9\u7a0b\u5f0f\u3068\u3044\u3044\u307e\u3059\u3002 \\[log_ 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