Precalculus Examples

$\log_{2} (0.5 {(x + 7)}^{6})$

Step 1

Rewrite $\log_{2} (0.5 {(x + 7)}^{6})$ as $\log_{2} (0.5) + \log_{2} ({(x + 7)}^{6})$ .

$\log_{2} (0.5) + \log_{2} ({(x + 7)}^{6})$

Step 2

Expand $\log_{2} ({(x + 7)}^{6})$ by moving $6$ outside the logarithm.

$\log_{2} (0.5) + 6 \log_{2} (x + 7)$

Step 3

Log base $2$ of $0.5$ is approximately $- 1$ .

$- 1 + 6 \log_{2} (x + 7)$