Expand the Logarithmic Expression log base 4 of 1/4

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

Step 1

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

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

Step 2

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

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

Step 3

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

$0 - 1 \cdot 1$

Step 4

Multiply $- 1$ by $1$ .

$0 - 1$

Step 5

Subtract $1$ from $0$ .

$- 1$