Решите неравенство: [tex]log _{ \frac{1}{125} } (x-4)\ \textgreater \ - \frac{1}{3} [/tex]

[tex] log_{ \frac{1}{125} }(x-4)\ \textgreater \ - \frac{1}{3}; \\ log_{ \frac{1}{125} }(x-4)\ \textgreater \ log_{ \frac{1}{125} }5; \\ x-4\ \textless \ 5; \\ x\ \textless \ 5+4; \\ x\ \textless \ 9. \\ [/tex]
ОДЗ:
x-4>0;
x>4.
Ответ: (4;9).