Simplify/Condense log base 2 of 9- log base 2 of 3

$\log_{2} (9) - \log_{2} (3)$

Step 1

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

$\log_{2} (\frac{9}{3})$

Step 2

Divide $9$ by $3$ .

$\log_{2} (3)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\log_{2} (3)$

Decimal Form:

$1.58496250 \dots$