Algebra Examples

\log_{3} (3^{5})

$\log_{3} (3^{5})$

Step 1

Use logarithm rules to move

5

$5$ out of the exponent.

5 \log_{3} (3)

$5 \log_{3} (3)$

Step 2

Logarithm base

3

$3$ of

3

$3$ is

1

$1$ .

5 \cdot 1

$5 \cdot 1$

Step 3

Multiply

5

$5$ by

1

$1$ .

5

$5$

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

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