# How do you solve -9ln(-9x)=-8?

Jan 31, 2017

$x = - \frac{1}{9} \sqrt[9]{{e}^{8}}$

#### Explanation:

$- 9 x > 0$ and $\ln \left(- 9 x\right) = \frac{8}{9}$

$x < 0$ and $- 9 x = {e}^{\frac{8}{9}}$

$x < 0$ and $x = - {e}^{\frac{8}{9}} / 9$

$x = - \frac{1}{9} \sqrt[9]{{e}^{8}}$