Algebra Examples

$\log_{4} (\frac{1}{16})$

Step 1

Rewrite $\log_{4} (\frac{1}{16})$ as $\log_{4} (1) - \log_{4} (16)$ .

$\log_{4} (1) - \log_{4} (16)$

Step 2

Logarithm base $4$ of $1$ is $0$ .

$0 - \log_{4} (16)$

Step 3

Logarithm base $4$ of $16$ is $2$ .

$0 - 1 \cdot 2$

Step 4

Multiply $- 1$ by $2$ .

$0 - 2$

Step 5

Subtract $2$ from $0$ .

$- 2$