Precalculus Examples

$\log_{4} (\sqrt[3]{64})$

Step 1

Rewrite $64$ as $4^{3}$ .

$\log_{4} (\sqrt[3]{4^{3}})$

Step 2

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

$\log_{4} (4)$

Step 3

Logarithm base $4$ of $4$ is $1$ .

$1$