Algebra Examples

$5 \log_{2} (32) + 2 \log_{3} (\frac{1}{9})$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Logarithm base $2$ of $32$ is $5$ .

$5 \cdot 5 + 2 \log_{3} (\frac{1}{9})$

Step 1.2

Multiply $5$ by $5$ .

$25 + 2 \log_{3} (\frac{1}{9})$

Step 1.3

Logarithm base $3$ of $\frac{1}{9}$ is $- 2$ .

$25 + 2 \cdot - 2$

Step 1.4

Multiply $2$ by $- 2$ .

$25 - 4$

$25 - 4$

Step 2

Subtract $4$ from $25$ .

$21$

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