3㏒1/3 x < ㏒1/3 9 + ㏒1/3 3 - Все ответы

Решите задачу:

$3log_{\frac{1}{3}}x\ \textless \ log_{\frac{1}{3}}9+log_{\frac{1}{3}}3\; ,\; \; \; \; ODZ:\; x\ \textgreater \ 0\\\\log_{\frac{1}{3}}x^3\ \textless \ log_{\frac{1}{3}}27\\\\x^3\ \textgreater \ 27\\\\x^3-27\ \textgreater \ 0\\\\(x-3)(x^2+3x+9)\ \textgreater \ 0\; \; \; \to \; \; x-3\ \textgreater \ 0,\; tak\; kak\; \; x^2+3x+9\ \textgreater \ 0\\\\\{x^2+3x+9\ \textgreater \ 0\; ,\; tak\; kak\; \; D=-27\ \textless \ 0\}\\\\x\ \textgreater \ 3\\\\Otvet:\; \; x\in (3,+\infty )$