Precalculus Examples

$\frac{\log (x^{2} y^{3})}{z^{4}}$

Step 1

Rewrite $\log (x^{2} y^{3})$ as $\log (x^{2}) + \log (y^{3})$ .

$\frac{\log (x^{2}) + \log (y^{3})}{z^{4}}$

Step 2

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

$\frac{2 \log (x) + \log (y^{3})}{z^{4}}$

Step 3

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

$\frac{2 \log (x) + 3 \log (y)}{z^{4}}$