Precalculus Examples

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

Step 1

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

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

Step 2

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

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

Step 3

Logarithm base $b$ of $b$ is $1$ .

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

Step 4

Multiply $2$ by $1$ .

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