# How do you solve logx+log8=2?

Jun 22, 2018

$x = \frac{25}{2}$

#### Explanation:

$\log x + \log 8 = 2$

$\log 8 x = 2$

${\log}_{10} 8 x = 2$

$8 x = {10}^{2}$

$8 x = 100$

$x = \frac{100}{8}$

$x = \frac{25}{2}$

Recall that if it just says $\log$, it means ${\log}_{10}$
and the log law: $\log a + \log b = \log a b$