Решите неравенство log7^2x-log7x^2 меньше 0

[latex]log7^2x-log7x^2\ \textless \ 0 \\ x\ \textgreater \ 0 \\ log \frac{49x}{7x^2}\ \textless \ log1 \Rightarrow \frac{7}{x} \ \textless \ 1 \Rightarrow \frac{7-x}{x}\ \textless \ 0 \Rightarrow \frac{x-7}{x}\ \textgreater \ 0 \\ \left \{ {{x\in (-\infty;0)\cup (7;+\infty)} \atop {x\in (0;\infty)}} \right. \iff x\in (7;+\infty) \\ [/latex]