Precalculus Examples

$\log (x (y (z^{2})))$

Step 1

Rewrite $\log (x (y (z^{2})))$ as $\log (x) + \log (y (z^{2}))$ .

$\log (x) + \log (y (z^{2}))$

Step 2

Rewrite $\log (y (z^{2}))$ as $\log (y) + \log (z^{2})$ .

$\log (x) + \log (y) + \log (z^{2})$

Step 3

Expand $\log (z^{2})$ by moving $2$ outside the logarithm.

$\log (x) + \log (y) + 2 \log (z)$