# How do you solve log_5 x= log 80?

Mar 28, 2018

$x = {5}^{\log} 80$

#### Explanation:

Here we see that the property of logarithyms comes into play.
We know that
${a}^{{\log}_{a} b} = b$
So we can raise both sides to the power of 5 and find that
${5}^{{\log}_{5} x} = {5}^{\log 80}$
And therefore
$x = {5}^{\log 80}$