Simplify/Condense 2 log base 4 of 9- log base 2 of 3

$2 \log_{4} (9) - \log_{2} (3)$

Simplify $2 \log_{4} (9)$ by moving $2$ inside the logarithm.

$\log_{4} (9^{2}) - \log_{2} (3)$

Raise $9$ to the power of $2$ .

$\log_{4} (81) - \log_{2} (3)$

The result can be shown in multiple forms.

Exact Form:

$\log_{4} (81) - \log_{2} (3)$

Decimal Form:

$1.58496250 \dots$