Precalculus Examples

$\log_{9} (u \cdot v \cdot w^{3})$

Step 1

Rewrite $\log_{9} (u \cdot v \cdot w^{3})$ as $\log_{9} (u \cdot v) + \log_{9} (w^{3})$ .

$\log_{9} (u \cdot v) + \log_{9} (w^{3})$

Step 2

Rewrite $\log_{9} (u \cdot v)$ as $\log_{9} (u) + \log_{9} (v)$ .

$\log_{9} (u) + \log_{9} (v) + \log_{9} (w^{3})$

Step 3

Expand $\log_{9} (w^{3})$ by moving $3$ outside the logarithm.

$\log_{9} (u) + \log_{9} (v) + 3 \log_{9} (w)$