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Решите задачу:

$1) (\frac{1}{2})^{-5x+16} \ \textless \ 64 \\ \\ \frac{1}{2}^{-5x+16}\ \textless \ \frac{1}{2}^{-6} \\ \\ -5x+16\ \textgreater \ -6 \\ \\ x\ \textless \ \frac{22}{5} \\ \\ x( \frac{22}{5}; + besk)$

$2) \frac{1}{125}^x\ \textgreater \ \sqrt{ \frac{1}{5} } \\ \\ (\frac{1}{5})^{3x} \ \textgreater \ (\frac{1}{5})^{ \frac{1}{2} } \\ \\ 3x\ \textless \ \frac{1}{2} \\ \\ x\ \textless \ \frac{1}{6} \\ \\ x(-besk; \frac{1}{6})$

$3) 5^{x}-5^{x-1} \ \textless \ 4 \\ \\ 5^x-5^x* \frac{1}{5} \ \textless \ 4 \\ \\ 5^x(1- \frac{1}{5} )\ \textless \ 4 \\ \\ \frac{4}{5} * 5^x\ \textless \ 4 |: \frac{5}{4} \\ \\ 5^x\ \textless \ 5^1 \\ \\ x\ \textless \ 1 \\ \\ x(-besk;1)$