Precalculus Examples

$\log_{27} (\frac{1}{9})$

Step 1

Rewrite $\log_{27} (\frac{1}{9})$ as $\log_{27} (1) - \log_{27} (9)$ .

$\log_{27} (1) - \log_{27} (9)$

Step 2

Logarithm base $27$ of $1$ is $0$ .

$0 - \log_{27} (9)$

Step 3

Logarithm base $27$ of $9$ is $\frac{2}{3}$ .

$0 - \frac{2}{3}$

Step 4

Subtract $\frac{2}{3}$ from $0$ .

$- \frac{2}{3}$