# How do you simplify Log 5 = 2 - Log x?

Jan 29, 2016

here is how,

#### Explanation:

$\log 5 = 2 - \log x$

$\mathmr{and} , \log 5 + \log x = 2$

$\mathmr{and} , \log \left(5 x\right) = 2$

$\mathmr{and} , {10}^{\log \left(5 x\right)} = {10}^{2}$

$\mathmr{and} , 5 x = 100$

$\mathmr{and} , x = \frac{100}{5}$

$\mathmr{and} , x = 20$