Найдите область определения функции f(x)=√㏒5(x+2)-㏒5(2x-8)

[latex]f(x)=\sqrt{log_5(x+2)}-log_5(2x-8)\\\left[\begin{array}{ccc}x+2\ \textgreater \ 0\\2x-8\ \textgreater \ 0\end{array}\right\left[\begin{array}{ccc}x\ \textgreater \ -2\\2x\ \textgreater \ 8\end{array}\right\left[\begin{array}{ccc}x\ \textgreater \ -2\\x\ \textgreater \ 4\end{array}\right[/latex] x∈(4; +∞)