Precalculus Examples

$\log_{2} ({(3 a)}^{4})$

Step 1

Expand $\log_{2} ({(3 a)}^{4})$ by moving $4$ outside the logarithm.

$4 \log_{2} (3 a)$

Step 2

Rewrite $\log_{2} (3 a)$ as $\log_{2} (3) + \log_{2} (a)$ .

$4 (\log_{2} (3) + \log_{2} (a))$

Step 3

Apply the distributive property.

$4 \log_{2} (3) + 4 \log_{2} (a)$