Precalculus Examples

$\log_{9} (x y^{3})$

Step 1

Rewrite $\log_{9} (x y^{3})$ as $\log_{9} (x) + \log_{9} (y^{3})$ .

$\log_{9} (x) + \log_{9} (y^{3})$

Step 2

Expand $\log_{9} (y^{3})$ by moving $3$ outside the logarithm.

$\log_{9} (x) + 3 \log_{9} (y)$