# How do you solve Log_(5)x=3?

Nov 24, 2015

I found: $x = 125$

#### Explanation:

You can use the definition of logarithm that basically tells you that you take the base, $5$, to the right pushing up the $3$ that becomes an exponent and, in doing so, lose the log:
$\cancel{\log} x = \textcolor{red}{{5}^{3}}$
or
$x = {5}^{3} = 125$