# How do you solve lnx-ln3=4?

Jul 30, 2016

$x = 3 {e}^{4} = 163.8$

#### Explanation:

$\ln x - \ln 3 = 4$ can be simplified to

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

$\frac{x}{3} = {e}^{4}$ or

$x = 3 {e}^{4} = 163.8$