Решите неравенство (1/2)^(3x-7)>0,04.

Решите задачу:

$( \frac{1}{2} )^{3x-7}\ \textgreater \ 0,04\\\\2^{7-3x}\ \textgreater \ \frac{4}{100} \\\\2^{7-3x}\ \textgreater \ \frac{1}{25}\\\\2^{7-3x}\ \textgreater \ 5^{-2}\\\\2^{7-3x}\ \textgreater \ 2^{log_25^{-2}}\\\\7-3x\ \textgreater \ log_25^{-2}\\\\7-3x\ \textgreater \ -2\cdot log_25\\\\3x\ \textless \ 7+2\cdot log_25\\\\x\ \textless \ \frac{7}{3}+\frac{2}{3}\cdot log_25$