Simplify/Condense log base 6 of 25- log base 6 of 5

$\log_{6} (25) - \log_{6} (5)$

Step 1

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

$\log_{6} (\frac{25}{5})$

Step 2

Divide $25$ by $5$ .

$\log_{6} (5)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\log_{6} (5)$

Decimal Form:

$0.89824440 \dots$