# How do you solve 2- 7 - log _ 3 8x = 2?

Nov 24, 2015

$x = \frac{1}{17496}$

#### Explanation:

$2 - 7 - {\log}_{3} 8 x = 2$

$- 5 - {\log}_{3} 8 x = 2$

$- {\log}_{3} 8 x = 7$

${\log}_{3} 8 x = - 7$

${3}^{{\log}_{3} 8 x} = {3}^{-} 7$

$8 x = \frac{1}{2187}$

$x = \frac{1}{17496}$