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    <title>对数 on 伊特瑞特</title>
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      <title>对数求底</title>
      <link>https://loveav.cn/posts/math/log-qd/</link>
      <pubDate>Wed, 25 Sep 2024 10:30:00 +0800</pubDate>
      <guid>https://loveav.cn/posts/math/log-qd/</guid>
      <description>&lt;!--正文开始--&gt;
&lt;p&gt;&lt;strong&gt;指数对数 求底&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;已知$x^n=y$  对应对数 $\log_xy=n$ ,求$x$&lt;/p&gt;
&lt;p&gt;可以根据换底公式&lt;/p&gt;
&lt;p&gt;$\log_an=\frac{\ln(n)}{\ln(a)}=y$&lt;/p&gt;
&lt;p&gt;$\Rightarrow \ln(a)=\frac{\ln(n)}{y}$&lt;/p&gt;
&lt;p&gt;$\Rightarrow a= e^{(\frac{\ln(n)}{y})}$&lt;/p&gt;</description>
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