Expand the Logarithmic Expression log base 2 of 1/32

$\log_{2} (\frac{1}{32})$

Step 1

Rewrite $\log_{2} (\frac{1}{32})$ as $\log_{2} (1) - \log_{2} (32)$ .

$\log_{2} (1) - \log_{2} (32)$

Step 2

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

$0 - \log_{2} (32)$

Step 3

Logarithm base $2$ of $32$ is $5$ .

$0 - 1 \cdot 5$

Step 4

Multiply $- 1$ by $5$ .

$0 - 5$

Step 5

Subtract $5$ from $0$ .

$- 5$