Precalculus Examples

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

Step 1

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

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

Step 2

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

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