1/2 log 1/2 1/8 - 2 =... 4log 1/5 1/25 - 5=.. log3 9 - log4 4 =.... 25 log4 16 =...

Пример 1:

$\frac{1}{2}log_{\frac{1}{2}}(\frac{1}{8})-2=\\=\frac{1}{2}log_{\frac{1}{2}}(\frac{1}{2^3})-2=\\=\frac{1}{2}log_{\frac{1}{2}}(\frac{1}{2})^{3}-2=\\=\frac{1}{2}\cdot3log_{\frac{1}{2}}(\frac{1}{2})-2=\\=\frac{1}{2}\cdot3\cdot1-2=\\=\frac{3}{2}-\frac{4}{2}=-\frac{1}{2}$

Пример 2:

$4logx_{\frac{1}{5}}(\frac{1}{25})-5=4logx_{\frac{1}{5}}(\frac{1}{5^2})-5=4logx_{\frac{1}{5}}(\frac{1}{5})^2-5=\\=4\cdot2logx_{\frac{1}{5}}(\frac{1}{5})-5=4\cdot2\cdot1-5=8-5=3$