Precalculus Examples

$\log_{4} (\frac{1}{32})$

Step 1

Rewrite $\log_{4} (\frac{1}{32})$ as $\log_{4} (1) - \log_{4} (32)$ .

$\log_{4} (1) - \log_{4} (32)$

Step 2

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

$0 - \log_{4} (32)$

Step 3

Logarithm base $4$ of $32$ is $\frac{5}{2}$ .

$0 - \frac{5}{2}$

Step 4

Subtract $\frac{5}{2}$ from $0$ .

$- \frac{5}{2}$