Question

How do you solve `ln(3x-1)=ln x` and find any extraneous solutions?

Answer 1

`x=1/2`

Explanation:

The equation is equivalent to the following sentences:

`3x-1>=0 and x>=0 and 3x-1=x`

`x>1/3 and x>=0 and 2x=1`

`x>1/3 and x=1/2`

`x=1/2`