Precalculus Examples

$\log_{5} (\sqrt[3]{125})$

Step 1

Rewrite $125$ as $5^{3}$ .

$\log_{5} (\sqrt[3]{5^{3}})$

Step 2

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

$\log_{5} (5)$

Step 3

Logarithm base $5$ of $5$ is $1$ .

$1$