Precalculus Examples

$\log_{2} (4^{2} \cdot 3^{4})$

Step 1

Raise $4$ to the power of $2$ .

$\log_{2} (16 \cdot 3^{4})$

Step 2

Raise $3$ to the power of $4$ .

$\log_{2} (16 \cdot 81)$

Step 3

Multiply $16$ by $81$ .

$\log_{2} (1296)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\log_{2} (1296)$

Decimal Form:

$10.33985000 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$