Question

Решите, пожалуйста, неравенство log3^2x-log3x-2>0

Answer 1

$log_3^2x-log_3x-2 textgreater 0; ,; ; ; ODZ:; ; x textgreater 0\\t=log_3x7; ,; ; ; t^2-t-2 textgreater 0; ,; ; t_1=-1,; ; t_2=2\\(t+1)(t-2) textgreater 0\\+++(-1)---(2)+++quad left [ {{t textless -1} atop {t textgreater 2}} right. ; ; left [ {{log_3x textless -1} atop {log_3x textgreater 2}} right. ; ; left [ {{x textless 3^{-1}} atop {x textgreater 3^2}} right. \\Otvet:; ; xin (0 ,frac{1}{3})cup (9,+infty ); .$