Precalculus Examples

$\frac{1}{1690} \cdot \ln (\frac{1}{2})$

Step 1

Simplify $\frac{1}{1690} \ln (\frac{1}{2})$ by moving $\frac{1}{1690}$ inside the logarithm.

$\ln ({(\frac{1}{2})}^{\frac{1}{1690}})$

Step 2

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

$\ln (\frac{1^{\frac{1}{1690}}}{2^{\frac{1}{1690}}})$

Step 3

One to any power is one.

$\ln (\frac{1}{2^{\frac{1}{1690}}})$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\ln (\frac{1}{2^{\frac{1}{1690}}})$

Decimal Form:

$- 0.00041014 \dots$