Precalculus Examples

$\log_{7} (\frac{x^{2} y}{z})$

Step 1

Rewrite $\log_{7} (\frac{x^{2} y}{z})$ as $\log_{7} (x^{2} y) - \log_{7} (z)$ .

$\log_{7} (x^{2} y) - \log_{7} (z)$

Step 2

Rewrite $\log_{7} (x^{2} y)$ as $\log_{7} (x^{2}) + \log_{7} (y)$ .

$\log_{7} (x^{2}) + \log_{7} (y) - \log_{7} (z)$

Step 3

Expand $\log_{7} (x^{2})$ by moving $2$ outside the logarithm.

$2 \log_{7} (x) + \log_{7} (y) - \log_{7} (z)$