Precalculus Examples

$\log_{5} (5 x^{2})$

Step 1

Rewrite $\log_{5} (5 x^{2})$ as $\log_{5} (5) + \log_{5} (x^{2})$ .

$\log_{5} (5) + \log_{5} (x^{2})$

Step 2

Expand $\log_{5} (x^{2})$ by moving $2$ outside the logarithm.

$\log_{5} (5) + 2 \log_{5} (x)$

Step 3

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

$1 + 2 \log_{5} (x)$