Precalculus Examples

$4 \log_{2} (\frac{1}{8})$

Step 1

Rewrite $\log_{2} (\frac{1}{8})$ as $\log_{2} (1) - \log_{2} (8)$ .

$4 (\log_{2} (1) - \log_{2} (8))$

Step 2

Logarithm base $2$ of $1$ is $0$ .

$4 (0 - \log_{2} (8))$

Step 3

Logarithm base $2$ of $8$ is $3$ .

$4 (0 - 1 \cdot 3)$

Step 4

Multiply $- 1$ by $3$ .

$4 (0 - 3)$

Step 5

Subtract $3$ from $0$ .

$4 \cdot - 3$

Step 6

Multiply $4$ by $- 3$ .

$- 12$