Algebra Examples

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

Step 1

Use logarithm rules to move $\frac{2}{3}$ out of the exponent.

$\frac{2}{3} \log_{4} (4)$

Step 2

Logarithm base $4$ of $4$ is $1$ .

$\frac{2}{3} \cdot 1$

Step 3

Multiply $\frac{2}{3}$ by $1$ .

$\frac{2}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$