Algebra Examples

{log}_{3} (3^{64})

$\log_{3} (3^{64})$

Step 1

Use logarithm rules to move

64

$64$ out of the exponent.

64 {log}_{3} (3)

$64 \log_{3} (3)$

Step 2

Logarithm base

3

$3$ of

3

$3$ is

1

$1$ .

64 \cdot 1

$64 \cdot 1$

Step 3

Multiply

64

$64$ by

1

$1$ .

64

$64$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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