Evaluate 1/4 log base 4 of 16

$\frac{1}{4} \log_{4} (16)$

Step 1

Logarithm base $4$ of $16$ is $2$ .

$\frac{1}{4} \cdot 2$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$\frac{1}{2 (2)} \cdot 2$

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{2}$

$\frac{1}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$

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