# How do you solve ln x - ln (x-3) = ln 5?

Jun 29, 2016

$x = \frac{15}{4}$

#### Explanation:

$\ln x - \ln \left(x - 3\right) = \ln 5$

$\ln \left(\frac{x}{x - 3}\right) = \ln 5$

$\frac{x}{x - 3} = 5$

$x = 5 x - 15$

$x = \frac{15}{4}$