\[\boxed{\mathbf{325}\mathbf{.}}\]
\[1)\log_{5}x > \log_{5}3\]
\[5 > 1\]
\[x > 3\]
\[Ответ:\ \ x > 3.\]
\[2)\log_{\frac{1}{5}}x \leq \log_{\frac{1}{5}}\frac{1}{8}\]
\[\frac{1}{5} < 1\]
\[x \geq \frac{1}{8}\]
\[Ответ:\ \ x \geq \frac{1}{8}.\]
\[3)\lg x < \lg 4\]
\[\log_{10}x < \log_{10}4\]
\[10 > 1\]
\[x < 4\]
\[Ответ:\ \ 0 < x < 4.\]
\[4)\ln x > \ln{0,5}\]
\[\log_{e}x > \log_{e}{0,5}\]
\[e > 1\]
\[x > 0,5\]
\[Ответ:\ \ x > 0,5.\]