Question

Помогите решить Сравните: log(3) 10 и log(10) 3.

Answer 1

$log_3{10}=\frac{1}{log_{10}3}\\\\Tak\; kak\; 3\ \textless \ 10,\; to\; \; log_{10}3\ \textless \ log_{10}10=1\Rightarrow \; \; \frac{1}{log_{10}3}\ \textgreater \ 1\; \to \\\\\frac{1}{log_{10}3}\ \textgreater \ log_{10}3\; \; \Rightarrow \; \; log_310\ \textgreater \ log_{10}3\\\\oo$