Solve the Equation $\log (2 x-1)=\log 1-\log (x-1)$ A) $\left\{0, \frac{3}{2}\right\}$ B) $\left\{\frac{3}{2}\right\}$

Multiple Choice

Solve the equation. Give the exact solution or solutions.
- $\log (2 x-1) =\log 1-\log (x-1)$

A) $\left\{0, \frac{3}{2}\right\}$
B) $\left\{\frac{3}{2}\right\}$
C) $\varnothing$
D) $\left\{1, \frac{1}{2}\right\}$