Precalculus Examples

$\log_{2} (\sqrt[5]{32})$

Step 1

Rewrite $32$ as $2^{5}$ .

$\log_{2} (\sqrt[5]{2^{5}})$

Step 2

Pull terms out from under the radical, assuming real numbers.

$\log_{2} (2)$

Step 3

Logarithm base $2$ of $2$ is $1$ .

$1$