# How do you solve 2 ln ( 3 - x ) - 4 = 0?

Jun 21, 2015

$x = 3 - {e}^{2} = - 4.389$

#### Explanation:

Take the $4$ and $2$ to the right:

$\ln \left(3 - x\right) = \frac{4}{2} = 2$

Apply the definition of logarithm:

${\log}_{a} x = b \to x = {a}^{b}$ here the base is the number $e$:

$3 - x = {e}^{2}$

rearranging:
$x = 3 - {e}^{2} = - 4.389$