# How do you write log_5y=2 in exponential form?

Aug 9, 2016

${\log}_{\textcolor{red}{5}} y = 2 \text{ "rArr " } {\textcolor{red}{5}}^{2} = y$

#### Explanation:

log form is written as $\text{ } {\log}_{a} b = c$
exponential (index) form is $\text{ } {a}^{c} = b$

The two forms are interchangeable.

To make it easier remember:

"The base stays the base and the other two swop around"

${\log}_{\textcolor{red}{5}} y = 2 \text{ "rArr " } {\textcolor{red}{5}}^{2} = y$