Precalculus Examples

$\frac{1}{7} \cdot \ln (\frac{5}{2})$

Step 1

Simplify $\frac{1}{7} \ln (\frac{5}{2})$ by moving $\frac{1}{7}$ inside the logarithm.

$\ln ({(\frac{5}{2})}^{\frac{1}{7}})$

Step 2

Apply the product rule to $\frac{5}{2}$ .

$\ln (\frac{5^{\frac{1}{7}}}{2^{\frac{1}{7}}})$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\ln (\frac{5^{\frac{1}{7}}}{2^{\frac{1}{7}}})$

Decimal Form:

$0.13089867 \dots$