Precalculus Examples

$\frac{- \ln (\frac{1}{2})}{5700}$

Step 1

Move the negative in front of the fraction.

$- \frac{\ln (\frac{1}{2})}{5700}$

Step 2

Rewrite $\frac{\ln (\frac{1}{2})}{5700}$ as $\frac{1}{5700} \ln (\frac{1}{2})$ .

$- (\frac{1}{5700} \ln (\frac{1}{2}))$

Step 3

Simplify $\frac{1}{5700} \ln (\frac{1}{2})$ by moving $\frac{1}{5700}$ inside the logarithm.

$- \ln ({(\frac{1}{2})}^{\frac{1}{5700}})$

Step 4

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

$- \ln (\frac{1^{\frac{1}{5700}}}{2^{\frac{1}{5700}}})$

Step 5

One to any power is one.

$- \ln (\frac{1}{2^{\frac{1}{5700}}})$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \ln (\frac{1}{2^{\frac{1}{5700}}})$

Decimal Form:

$0.00012160 \dots$