Precalculus Examples

$\log_{49} (49^{\frac{1}{4}})$

Step 1

Use logarithm rules to move $\frac{1}{4}$ out of the exponent.

$\frac{1}{4} \log_{49} (49)$

Step 2

Logarithm base $49$ of $49$ is $1$ .

$\frac{1}{4} \cdot 1$

Step 3

Multiply $\frac{1}{4}$ by $1$ .

$\frac{1}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$