Precalculus Examples

$\log_{4} (20) - \log_{4} (10)$

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

$\log_{4} (\frac{20}{10})$

Logarithm base $4$ of $\frac{20}{10}$ is $\frac{1}{2}$ .

$\frac{1}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$