Precalculus Examples

$\log_{5} ({(2 x)}^{3})$

Step 1

Expand $\log_{5} ({(2 x)}^{3})$ by moving $3$ outside the logarithm.

$3 \log_{5} (2 x)$

Step 2

Rewrite $\log_{5} (2 x)$ as $\log_{5} (2) + \log_{5} (x)$ .

$3 (\log_{5} (2) + \log_{5} (x))$

Step 3

Apply the distributive property.

$3 \log_{5} (2) + 3 \log_{5} (x)$