# How do you solve x=log_15 225?

Nov 27, 2015

$x = 2$

#### Explanation:

It is always important to remember that logarithms undo exponents and vice versa.

For example: if ${\log}_{a} b = c$, then ${a}^{c} = b$.

Therefore, if $x = {\log}_{15} 225$, then ${15}^{x} = 225$.

We can rewrite this as ${15}^{x} = {15}^{2}$.

Thus, $x = 2$.