Precalculus Examples

$(\frac{1}{2}) \ln (\frac{82}{37})$

Simplify $(\frac{1}{2}) \ln (\frac{82}{37})$ by moving $\frac{1}{2}$ inside the logarithm.

$\ln ({(\frac{82}{37})}^{\frac{1}{2}})$

Apply the product rule to $\frac{82}{37}$ .

$\ln (\frac{82^{\frac{1}{2}}}{37^{\frac{1}{2}}})$

The result can be shown in multiple forms.

Exact Form:

$\ln (\frac{82^{\frac{1}{2}}}{37^{\frac{1}{2}}})$

Decimal Form:

$0.39790066 \dots$