Question

Помогите пожаааалуйстаа

log5 x- 3 logx 5=2

Answer 1

$log_5 x- 3 log_x 5=2\log_5 x- frac{3}{log_5 x}=2\log_5^2 x - 2log_5 x - 3=0\(log_5 x-3)(log_5 x+1)=0\begin{cases}log_5x=3\log_5 x = -1end{cases}\x_1 = 125, x_2 =0.2$