# How do you write log_4(32)=x in exponential form?

Nov 7, 2015

I found: $32 = {4}^{x}$

#### Explanation:

You can use the definition of log:

${\log}_{a} b = x \to b = {a}^{x}$

so basically $4$ "pushes up" $x$ to becom an exponent and you get:
$32 = {4}^{x}$

[You can get $x = 2.5$ in this case so that $32 = {4}^{2.5}$]