Question

Решите уравнение??????????????????????

Answer 1

$9^{x+2}=13^{2x-1}\\\\log_9(9^{x+2})=log_9(13^{2x-1})\\\\(x+2)log_99=(2x-1)log_913\\\\x+2=2x\cdot log_913-log_913\\\\2x\cdot log_913-x=2+log_913\\\\x(2\cdot log_913-1)=2+log_913\\\\x=\frac{2+log_913}{2log_913-1}$