(X + 8) / log4 (x + 4) > 0 - Все ответы

Решите задачу:

$\frac{x+8}{log_4(x+4)}\ \textgreater \ 0\; ,\; \; ODZ:\; x\ \textgreater \ -4\\\\ \left \{ {{x+8\ \textgreater \ 0} \atop {log_4x\ \textgreater \ 0}} \right. \; ili\; \left \{ {{x+8\ \textless \ 0} \atop {log_4x\ \textless \ 0}} \right. \\\\ \left \{ {{x\ \textgreater \ -8} \atop {x\ \textgreater \ 1}} \right. \; ili\; \left \{ {{x\ \textless \ -8} \atop {0\ \textless \ x\ \textless \ 1}} \right. \\\\x\ \textgreater \ 1\; \; \; ili\; \; \; x\in \varnothing \\\\ \left \{ {{x\ \textgreater \ -4} \atop {x\ \textgreater \ 1}} \right. \; \Rightarrow \; \; x\ \textgreater \ 1\; \; ili\; \; x\in (1,+\infty)$