Precalculus Examples

$\frac{1}{2} \cdot \ln (\frac{3}{5})$

Step 1

Simplify $\frac{1}{2} \ln (\frac{3}{5})$ by moving $\frac{1}{2}$ inside the logarithm.

$\ln ({(\frac{3}{5})}^{\frac{1}{2}})$

Step 2

Apply the product rule to $\frac{3}{5}$ .

$\ln (\frac{3^{\frac{1}{2}}}{5^{\frac{1}{2}}})$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\ln (\frac{3^{\frac{1}{2}}}{5^{\frac{1}{2}}})$

Decimal Form:

$- 0.25541281 \dots$