Precalculus Examples

$\log_{a} (3 a^{2})$

Step 1

Rewrite $\log_{a} (3 a^{2})$ as $\log_{a} (3) + \log_{a} (a^{2})$ .

$\log_{a} (3) + \log_{a} (a^{2})$

Step 2

Use logarithm rules to move $2$ out of the exponent.

$\log_{a} (3) + 2 \log_{a} (a)$

Step 3

Logarithm base $a$ of $a$ is $1$ .

$\log_{a} (3) + 2 \cdot 1$

Step 4

Multiply $2$ by $1$ .

$\log_{a} (3) + 2$