Question #31947

1 Answer
Oct 23, 2017

x=2x=2

Explanation:

The equation is log(3x-5)=log(x-1)log(3x5)=log(x1)

When the base of the loglog is same then -->

log(f(x))=log(g(x))log(f(x))=log(g(x))

cancel(log)(f(x))=cancel(log)(g(x))

f(x)=g(x)

Therefore

log(3x-5)=log(x-1)

cancel(log)(3x-5)=cancel(log)(x-1)

3x-5=x-1

3x-x=-1+5

2x=4

x=4/2

x=2