Precalculus Examples

$\log_{b} (y^{5} x)$

Step 1

Rewrite $\log_{b} (y^{5} x)$ as $\log_{b} (y^{5}) + \log_{b} (x)$ .

$\log_{b} (y^{5}) + \log_{b} (x)$

Step 2

Expand $\log_{b} (y^{5})$ by moving $5$ outside the logarithm.

$5 \log_{b} (y) + \log_{b} (x)$