Precalculus Examples

$\log_{3} (\frac{x^{3}}{2})$

Step 1

Rewrite $\log_{3} (\frac{x^{3}}{2})$ as $\log_{3} (x^{3}) - \log_{3} (2)$ .

$\log_{3} (x^{3}) - \log_{3} (2)$

Step 2

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

$3 \log_{3} (x) - \log_{3} (2)$