# How do you solve Log_ (x) 3 = 1/4?

Feb 18, 2016

The number in subscript beside the log is the base, the number alone on one side of the = sign is the exponent, and the number in normal font to the right of the log, on the same side of the = sign is what the expression equals.

#### Explanation:

Rewrite in exponential form.

${x}^{\frac{1}{4}} = 3$

$\sqrt[4]{x} = 3$

Take the 4th root of both sides.

${\left(\sqrt[4]{x}\right)}^{4} = {3}^{4}$

$x = 81$

Hopefully this helps!