Precalculus Examples

$\log ({(x y)}^{4})$

Step 1

Expand $\log ({(x y)}^{4})$ by moving $4$ outside the logarithm.

$4 \log (x y)$

Step 2

Rewrite $\log (x y)$ as $\log (x) + \log (y)$ .

$4 (\log (x) + \log (y))$

Step 3

Apply the distributive property.

$4 \log (x) + 4 \log (y)$