# How do you solve \log _ { 2} ( 9- 4x ) = 3?

Dec 7, 2017

$x = \frac{1}{4} = 0.25$.
See explanation.

#### Explanation:

You have:
${\log}_{2} \left(9 - 4 x\right) = 3$

so you can do:
${2}^{{\log}_{2} \left(9 - 4 x\right)} = {2}^{3}$

which becomes:
$\left(9 - 4 x\right) = {2}^{3}$

and just solve for x:
$4 x = 9 - 8$
i.e.
$x = \frac{1}{4} = 0.25$