Precalculus Examples

$\log_{5} (x y^{3})$

Step 1

Rewrite $\log_{5} (x y^{3})$ as $\log_{5} (x) + \log_{5} (y^{3})$ .

$\log_{5} (x) + \log_{5} (y^{3})$

Step 2

Expand $\log_{5} (y^{3})$ by moving $3$ outside the logarithm.

$\log_{5} (x) + 3 \log_{5} (y)$