Precalculus Examples

$\log_{5} (x \cdot y \cdot z^{6})$

Step 1

Rewrite $\log_{5} (x \cdot y \cdot z^{6})$ as $\log_{5} (x \cdot y) + \log_{5} (z^{6})$ .

$\log_{5} (x \cdot y) + \log_{5} (z^{6})$

Step 2

Rewrite $\log_{5} (x \cdot y)$ as $\log_{5} (x) + \log_{5} (y)$ .

$\log_{5} (x) + \log_{5} (y) + \log_{5} (z^{6})$

Step 3

Expand $\log_{5} (z^{6})$ by moving $6$ outside the logarithm.

$\log_{5} (x) + \log_{5} (y) + 6 \log_{5} (z)$