Precalculus Examples

$\frac{\frac{\log (21)}{\log (20)}}{4}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{\log (21)}{\log (20)} \cdot \frac{1}{4}$

Step 2

Multiply $\frac{\log (21)}{\log (20)} \cdot \frac{1}{4}$ .

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Step 2.1

Multiply $\frac{\log (21)}{\log (20)}$ by $\frac{1}{4}$ .

$\frac{\log (21)}{\log (20) \cdot 4}$

Step 2.2

Reorder $\log (20)$ and $4$ .

$\frac{\log (21)}{4 \cdot \log (20)}$

Step 2.3

Simplify $4 \cdot \log (20)$ by moving $4$ inside the logarithm.

$\frac{\log (21)}{\log (20^{4})}$

Step 3

Raise $20$ to the power of $4$ .

$\frac{\log (21)}{\log (160000)}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{\log (21)}{\log (160000)}$

Decimal Form:

$0.25407163 \dots$