Precalculus Examples

$k = \frac{\ln (\frac{0.54}{0.6})}{30}$

Step 1

Rewrite $\frac{\ln (\frac{0.54}{0.6})}{30}$ as $\frac{1}{30} \ln (\frac{0.54}{0.6})$ .

$k = \frac{1}{30} \ln (\frac{0.54}{0.6})$

Step 2

Simplify $\frac{1}{30} \ln (\frac{0.54}{0.6})$ by moving $\frac{1}{30}$ inside the logarithm.

$k = \ln ({(\frac{0.54}{0.6})}^{\frac{1}{30}})$

Step 3

Divide $0.54$ by $0.6$ .

$k = \ln ({0.9}^{\frac{1}{30}})$

Step 4

Raise $0.9$ to the power of $\frac{1}{30}$ .

$k = \ln (0.99649414)$

Step 5

The result can be shown in multiple forms.

Exact Form:

$k = \ln (0.99649414)$

Decimal Form:

$k = - 0.00351201 \dots$