Решите уравнение Lg²x-lgx-6=0

Question

Решите уравнение
Lg²x-lgx-6=0

Answer 1

Lg^2 x - lg x - 6 = 0
(lg x - 3) * (lg x + 2) = 0
lg x = 3 || lg x = -2
x = 10^3 || x = 10^-2

--> x = {0.01, 1000}