Precalculus Examples

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

Step 1

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

$3 \log (\frac{2}{x})$

Step 2

Rewrite $\log (\frac{2}{x})$ as $\log (2) - \log (x)$ .

$3 (\log (2) - \log (x))$

Step 3

Apply the distributive property.

$3 \log (2) + 3 (- \log (x))$

Step 4

Multiply $- 1$ by $3$ .

$3 \log (2) - 3 \log (x)$