Precalculus Examples

$\frac{\ln (3)}{\ln (81)}$

Step 1

Rewrite $\ln (81)$ as $\ln (3^{4})$ .

$\frac{\ln (3)}{\ln (3^{4})}$

Step 2

Expand $\ln (3^{4})$ by moving $4$ outside the logarithm.

$\frac{\ln (3)}{4 \ln (3)}$

Step 3

Cancel the common factor of $\ln (3)$ .

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Step 3.1

Cancel the common factor.

$\frac{\ln (3)}{4 \ln (3)}$

Step 3.2

Rewrite the expression.

$\frac{1}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$