Log3(x-2)=log 3(2х-1) - log3(x+2)

Question

Log3(x-2)=log 3(2х-1) - log3(x+2)

Answer 1

log3(x-2)+log3(x+2)=log3(2x-1)

log3(x-2)(x+2)=log3(2x-1)

log3(x^{2}-4)=log3(2x-1)

x^{2}-4=2x-1

x^{2}-2x-3=0

x=3,х=-1

-1-посторонний корень

Ответ:3