Question

Решите неравенство. Справа ответ.

Answer 1

$log_2; log_{frac{1}{3}}, log_5x textgreater 0; ,\\ODZ: left{begin{array}{l}x textgreater 0\log_5x textgreater 0\log_{frac{1}{3}}log_5x textgreater 0}end{array}right ; ; left{begin{array}{l}x textgreater 0\log_5x textgreater log_51\log_{frac{1}{3}}(log_5x) textgreater log_{frac{1}{3}}1}end{array}right ; left{begin{array}{l}x textgreater 0\x textgreater 1\log_5x textless 1end{array}right\\\left{begin{array}{l}x textgreater 0\x textgreater 1\x textless 5end{array}right; ; to ; ; ; 1 textless x textless 5\\\log_2(log_{frac{1}{3}}(log_5x)) textgreater log_21; ; to ; ; ; log_{frac{1}{3}}(log_5x) textgreater 1; ; ; to$

$log_{frac{1}{3}}(log_5x) textgreater log_{frac{1}{3}} frac{1}{3} ; ; ; to ; ; ; log_5x textless frac{1}{3}; ; ; to \\log_5x textless log_5, 5^{frac{1}{3}}; ; ; to ; ; ; x textless 5^{frac{1}{3}}; ; ; ; ili; ; ; ; x textless sqrt[3]5\\ left { {{1 textless x textless 5} atop {x textless sqrt[3]5}} right. ; ; ; to ; ; ; 1 textless x textless sqrt[3]5\\Otvet:; ; xin (1;sqrt[3]5); .$