# How do you solve the equation log_2x=-3?

Mar 22, 2018

color(purple)(x = 1/8 = 0.125

#### Explanation:

From the above table,

${\log}_{a} m = n , \text{ then } m = {a}^{n}$

Given : ${\log}_{2} x = - 3$

$\therefore x = {2}^{- 3} = \frac{1}{2} ^ 3 = \frac{1}{8} = 0.125$