Precalculus Examples

$\frac{\frac{\ln (2)}{32}}{\ln (4)}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{\ln (2)}{32} \cdot \frac{1}{\ln (4)}$

Step 2

Rewrite $\frac{\ln (2)}{32}$ as $\frac{1}{32} \ln (2)$ .

$\frac{1}{32} \ln (2) \frac{1}{\ln (4)}$

Step 3

Simplify $\frac{1}{32} \ln (2)$ by moving $\frac{1}{32}$ inside the logarithm.

$\ln (2^{\frac{1}{32}}) \frac{1}{\ln (4)}$

Step 4

Combine $\ln (2^{\frac{1}{32}})$ and $\frac{1}{\ln (4)}$ .

$\frac{\ln (2^{\frac{1}{32}})}{\ln (4)}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{\ln (2^{\frac{1}{32}})}{\ln (4)}$

Decimal Form:

$0.015625$