Precalculus Examples

$\log_{9} ({(x \cdot y)}^{2})$

Step 1

Expand $\log_{9} ({(x \cdot y)}^{2})$ by moving $2$ outside the logarithm.

$2 \log_{9} (x \cdot y)$

Step 2

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

$2 (\log_{9} (x) + \log_{9} (y))$

Step 3

Apply the distributive property.

$2 \log_{9} (x) + 2 \log_{9} (y)$