Simplify/Condense log base 5 of 24- log base 5 of 6

$\log_{5} (24) - \log_{5} (6)$

Step 1

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

$\log_{5} (\frac{24}{6})$

Step 2

Divide $24$ by $6$ .

$\log_{5} (4)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\log_{5} (4)$

Decimal Form:

$0.86135311 \dots$