Precalculus Examples

$\log_{b} (z^{4} y)$

Step 1

Rewrite $\log_{b} (z^{4} y)$ as $\log_{b} (z^{4}) + \log_{b} (y)$ .

$\log_{b} (z^{4}) + \log_{b} (y)$

Step 2

Expand $\log_{b} (z^{4})$ by moving $4$ outside the logarithm.

$4 \log_{b} (z) + \log_{b} (y)$