Precalculus Examples

$\log_{b} (y z^{3})$

Step 1

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

$\log_{b} (y) + \log_{b} (z^{3})$

Step 2

Expand $\log_{b} (z^{3})$ by moving $3$ outside the logarithm.

$\log_{b} (y) + 3 \log_{b} (z)$