Precalculus Examples

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

Step 1

Rewrite $\log (\frac{x^{4} y}{z})$ as $\log (x^{4} y) - \log (z)$ .

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

Step 2

Rewrite $\log (x^{4} y)$ as $\log (x^{4}) + \log (y)$ .

$\log (x^{4}) + \log (y) - \log (z)$

Step 3

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

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