Precalculus Examples

$\frac{\ln (\frac{1}{2})}{10}$

Step 1

Rewrite $\frac{\ln (\frac{1}{2})}{10}$ as $\frac{1}{10} \ln (\frac{1}{2})$ .

$\frac{1}{10} \ln (\frac{1}{2})$

Step 2

Simplify $\frac{1}{10} \ln (\frac{1}{2})$ by moving $\frac{1}{10}$ inside the logarithm.

$\ln ({(\frac{1}{2})}^{\frac{1}{10}})$

Step 3

Apply the product rule to $\frac{1}{2}$ .

$\ln (\frac{1^{\frac{1}{10}}}{2^{\frac{1}{10}}})$

Step 4

One to any power is one.

$\ln (\frac{1}{2^{\frac{1}{10}}})$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\ln (\frac{1}{2^{\frac{1}{10}}})$

Decimal Form:

$- 0.06931471 \dots$