Simplify/Condense log base 9 of 35- log base 9 of 7

$\log_{9} (35) - \log_{9} (7)$

Step 1

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

$\log_{9} (\frac{35}{7})$

Step 2

Divide $35$ by $7$ .

$\log_{9} (5)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\log_{9} (5)$

Decimal Form:

$0.73248676 \dots$