Precalculus Examples

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

Step 4

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

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