Precalculus Examples

$\log_{2} ({(a b)}^{2})$

Step 1

Expand $\log_{2} ({(a b)}^{2})$ by moving $2$ outside the logarithm.

$2 \log_{2} (a b)$

Step 2

Rewrite $\log_{2} (a b)$ as $\log_{2} (a) + \log_{2} (b)$ .

$2 (\log_{2} (a) + \log_{2} (b))$

Step 3

Apply the distributive property.

$2 \log_{2} (a) + 2 \log_{2} (b)$