Precalculus Examples

$\log_{8} (u \cdot v \cdot w^{5})$

Step 1

Rewrite $\log_{8} (u \cdot v \cdot w^{5})$ as $\log_{8} (u \cdot v) + \log_{8} (w^{5})$ .

$\log_{8} (u \cdot v) + \log_{8} (w^{5})$

Step 2

Rewrite $\log_{8} (u \cdot v)$ as $\log_{8} (u) + \log_{8} (v)$ .

$\log_{8} (u) + \log_{8} (v) + \log_{8} (w^{5})$

Step 3

Expand $\log_{8} (w^{5})$ by moving $5$ outside the logarithm.

$\log_{8} (u) + \log_{8} (v) + 5 \log_{8} (w)$