Precalculus Examples

$\log_{3} (u \cdot v \cdot w^{4})$

Step 1

Rewrite $\log_{3} (u \cdot v \cdot w^{4})$ as $\log_{3} (u \cdot v) + \log_{3} (w^{4})$ .

$\log_{3} (u \cdot v) + \log_{3} (w^{4})$

Step 2

Rewrite $\log_{3} (u \cdot v)$ as $\log_{3} (u) + \log_{3} (v)$ .

$\log_{3} (u) + \log_{3} (v) + \log_{3} (w^{4})$

Step 3

Expand $\log_{3} (w^{4})$ by moving $4$ outside the logarithm.

$\log_{3} (u) + \log_{3} (v) + 4 \log_{3} (w)$