Lg(3x+1)-lg(x-5)=lg5

Question

Lg(3x+1)-lg(x-5)=lg5

Answer 1

ОДЗ
3x+1>0⇒x>-1/3 U x-5>0⇒x>5⇒x∈(5;≈)
lg(3x+1)/(x-5)=lg5
(3x+1)/(x-5)=5
3x+1=5x-25
3x-5x=-1-25
-2x=-26
x=13