Precalculus Examples

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

Step 1

Expand $\log_{3} ({(\frac{2}{m})}^{3})$ by moving $3$ outside the logarithm.

$3 \log_{3} (\frac{2}{m})$

Step 2

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

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

Step 3

Apply the distributive property.

$3 \log_{3} (2) + 3 (- \log_{3} (m))$

Step 4

Multiply $- 1$ by $3$ .

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