Найти область определения функции: y=[latex] log_{x+7} (x^{2}-25) [/latex]

[latex]y=log_{x+7}(x^2-25)\\\\OOF:\quad x+7\ \textgreater \ 0\; ,\; x+7\ne 1\; ,\; x^2-25\ \textgreater \ 0\\\\x\ \textgreater \ -7\; ,\; x\ne -6\; ,\; (x-5)(x+5)\ \textgreater \ 0\\\\(x-5)(x+5)\ \textgreater \ 0\quad +++(-5)---(5)+++\\\\x\in (-\infty ,-5)\cup (5,+\infty )\\\\Otvet:\; x\in (-7,-6)\cup (-6,-5)\cup (5,+\infty )[/latex]