Precalculus Examples

$\log_{5} (28) - \log_{5} (4)$

Step 1

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

$\log_{5} (\frac{28}{4})$

Step 2

Divide $28$ by $4$ .

$\log_{5} (7)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\log_{5} (7)$

Decimal Form:

$1.20906195 \dots$