Precalculus Examples

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

Step 1

Rewrite $\log_{2} (5 x^{3})$ as $\log_{2} (5) + \log_{2} (x^{3})$ .

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

Step 2

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

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