Precalculus Examples

$\log_{2} (\frac{1}{128})$

Step 1

Rewrite $\log_{2} (\frac{1}{128})$ as $\log_{2} (1) - \log_{2} (128)$ .

$\log_{2} (1) - \log_{2} (128)$

Step 2

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

$0 - \log_{2} (128)$

Step 3

Logarithm base $2$ of $128$ is $7$ .

$0 - 1 \cdot 7$

Step 4

Multiply $- 1$ by $7$ .

$0 - 7$

Step 5

Subtract $7$ from $0$ .

$- 7$