Precalculus Examples

$\frac{\ln (\frac{0.57}{0.6})}{30}$

Step 1

Rewrite $\frac{\ln (\frac{0.57}{0.6})}{30}$ as $\frac{1}{30} \ln (\frac{0.57}{0.6})$ .

$\frac{1}{30} \ln (\frac{0.57}{0.6})$

Step 2

Simplify $\frac{1}{30} \ln (\frac{0.57}{0.6})$ by moving $\frac{1}{30}$ inside the logarithm.

$\ln ({(\frac{0.57}{0.6})}^{\frac{1}{30}})$

Step 3

Divide $0.57$ by $0.6$ .

$\ln ({0.95}^{\frac{1}{30}})$

Step 4

Raise $0.95$ to the power of $\frac{1}{30}$ .

$\ln (0.99829168)$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\ln (0.99829168)$

Decimal Form:

$- 0.00170977 \dots$