Basic Math Examples

$k = \frac{\ln (\frac{67}{150})}{- 10}$

Step 1

Rewrite $\frac{\ln (\frac{67}{150})}{- 10}$ as $\frac{1}{- 10} \ln (\frac{67}{150})$ .

$k = \frac{1}{- 10} \ln (\frac{67}{150})$

Step 2

Simplify $\frac{1}{- 10} \ln (\frac{67}{150})$ by moving $- \frac{1}{- 10}$ inside the logarithm.

$k = - \ln ({(\frac{67}{150})}^{- \frac{1}{- 10}})$

Step 3

Move the negative in front of the fraction.

$k = - \ln ({(\frac{67}{150})}^{- - \frac{1}{10}})$

Step 4

Multiply $- - \frac{1}{10}$ .

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Step 4.1

Multiply $- 1$ by $- 1$ .

$k = - \ln ({(\frac{67}{150})}^{1 (\frac{1}{10})})$

Step 4.2

Multiply $\frac{1}{10}$ by $1$ .

$k = - \ln ({(\frac{67}{150})}^{\frac{1}{10}})$

Step 5

Apply the product rule to $\frac{67}{150}$ .

$k = - \ln (\frac{67^{\frac{1}{10}}}{150^{\frac{1}{10}}})$

Step 6

The result can be shown in multiple forms.

Exact Form:

$k = - \ln (\frac{67^{\frac{1}{10}}}{150^{\frac{1}{10}}})$

Decimal Form:

$k = 0.08059426 \dots$