Precalculus Examples

$\log_{9} (\frac{1}{3})$

Step 1

Rewrite $\log_{9} (\frac{1}{3})$ as $\log_{9} (1) - \log_{9} (3)$ .

$\log_{9} (1) - \log_{9} (3)$

Step 2

Logarithm base $9$ of $1$ is $0$ .

$0 - \log_{9} (3)$

Step 3

Logarithm base $9$ of $3$ is $\frac{1}{2}$ .

$0 - \frac{1}{2}$

Step 4

Subtract $\frac{1}{2}$ from $0$ .

$- \frac{1}{2}$