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

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

Step 1

Logarithm base $2$ of $4$ is $2$ .

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

Step 2

Simplify $3 \log_{2} (9)$ by moving $3$ inside the logarithm.

$2 + \log_{2} (9^{3})$

Step 3

Raise $9$ to the power of $3$ .

$2 + \log_{2} (729)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$2 + \log_{2} (729)$

Decimal Form:

$11.50977500 \dots$