Question

неравенство log(1/3)2*log(5)(x-2)>0

Answer 1

$log_{frac{1}{3}}2cdot log_5(x-2) textgreater 0; ,; ; ; ; ODZ:; ; x-2 textgreater 0; ,; ; x textgreater 2\\log_{frac{1}{3}}2 textless 0; ; ; Rightarrow ; ; ; log_5(x-2) textless 0\\log_5(x-2) textless log_51\\x-5 textless 1\\x textless 6\\Otvet:; ; ; xin (2,6); .$