# How do you solve Log(2x-1)=3?

Dec 5, 2015

$x = \frac{1001}{2}$

#### Explanation:

$\log \left(2 x - 1\right) = 3 \to$ generally log without base consider as common log so the base is 10

Write in exponential form
$2 x - 1 = {10}^{3}$

$2 x = 1001$
$x = \frac{1001}{2}$