Precalculus Examples

$\log_{5} (1000) - \log_{5} (8)$

Step 1

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

$\log_{5} (\frac{1000}{8})$

Step 2

Logarithm base $5$ of $\frac{1000}{8}$ is $3$ .

$3$