Precalculus Examples

$\log_{b} (x^{6} y)$

Step 1

Rewrite $\log_{b} (x^{6} y)$ as $\log_{b} (x^{6}) + \log_{b} (y)$ .

$\log_{b} (x^{6}) + \log_{b} (y)$

Step 2

Expand $\log_{b} (x^{6})$ by moving $6$ outside the logarithm.

$6 \log_{b} (x) + \log_{b} (y)$