Question

Solve for x
ln (2x - 1) = 0

Answer 1

ln (2x - 1) =ln1
2x-1=1
2x=2
x=1...

Answer 2

That's a good way to think about it.
Alternatively you can use the definition of the logarithm:

\[ln (2x - 1) = 0 \iff e^0 = 2x -1 \implies 2x - 1 = 1\]

Answer 3

:)