Precalculus Examples

$\log_{2} (5^{2} \cdot 4^{5})$

Step 1

Raise $5$ to the power of $2$ .

$\log_{2} (25 \cdot 4^{5})$

Step 2

Raise $4$ to the power of $5$ .

$\log_{2} (25 \cdot 1024)$

Step 3

Multiply $25$ by $1024$ .

$\log_{2} (25600)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\log_{2} (25600)$

Decimal Form:

$14.64385618 \dots$

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