Precalculus Examples

$\log (x y^{3} z^{9})$

Step 1

Rewrite $\log (x y^{3} z^{9})$ as $\log (x y^{3}) + \log (z^{9})$ .

$\log (x y^{3}) + \log (z^{9})$

Step 2

Rewrite $\log (x y^{3})$ as $\log (x) + \log (y^{3})$ .

$\log (x) + \log (y^{3}) + \log (z^{9})$

Step 3

Expand $\log (y^{3})$ by moving $3$ outside the logarithm.

$\log (x) + 3 \log (y) + \log (z^{9})$

Step 4

Expand $\log (z^{9})$ by moving $9$ outside the logarithm.

$\log (x) + 3 \log (y) + 9 \log (z)$