Precalculus Examples

$- \frac{\ln (\frac{25}{21})}{50}$

Step 1

Rewrite $\frac{\ln (\frac{25}{21})}{50}$ as $\frac{1}{50} \ln (\frac{25}{21})$ .

$- (\frac{1}{50} \ln (\frac{25}{21}))$

Step 2

Simplify $\frac{1}{50} \ln (\frac{25}{21})$ by moving $\frac{1}{50}$ inside the logarithm.

$- \ln ({(\frac{25}{21})}^{\frac{1}{50}})$

Step 3

Apply the product rule to $\frac{25}{21}$ .

$- \ln (\frac{25^{\frac{1}{50}}}{21^{\frac{1}{50}}})$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \ln (\frac{25^{\frac{1}{50}}}{21^{\frac{1}{50}}})$

Decimal Form:

$- 0.00348706 \dots$