Precalculus Examples

$\log_{4} (1) - \log_{4} (8)$

Step 1

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

$\log_{4} (\frac{1}{8})$

Step 2

Logarithm base $4$ of $\frac{1}{8}$ is $- \frac{3}{2}$ .

$- \frac{3}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{2}$

Decimal Form:

$- 1.5$

Mixed Number Form:

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