# How do you solve 66 + 8 log x = 50?

Dec 19, 2015

$x = \frac{1}{100}$

#### Explanation:

Subtract $66$ from both sides.

$8 \log x = - 16$

Divide both sides by $8$.

$\log x = - 2$

Recall that $\log x = {\log}_{10} x$.

${\log}_{10} x = - 2$.

Exponentiate both sides to undo the logarithm.

${10}^{{\log}_{10} x} = {10}^{-} 2$

$x = {10}^{-} 2$

$x = \frac{1}{10} ^ 2 = \frac{1}{100}$