Expand the Logarithmic Expression log base 2 of 1/64

$\log_{2} (\frac{1}{64})$

Step 1

Rewrite $\log_{2} (\frac{1}{64})$ as $\log_{2} (1) - \log_{2} (64)$ .

$\log_{2} (1) - \log_{2} (64)$

Step 2

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

$0 - \log_{2} (64)$

Step 3

Logarithm base $2$ of $64$ is $6$ .

$0 - 1 \cdot 6$

Step 4

Multiply $- 1$ by $6$ .

$0 - 6$

Step 5

Subtract $6$ from $0$ .

$- 6$