Precalculus Examples

$\frac{\ln (0.15)}{\frac{\ln (\frac{1}{2})}{22}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\ln (0.15) \frac{22}{\ln (\frac{1}{2})}$

Step 2

Multiply $\ln (0.15) \frac{22}{\ln (\frac{1}{2})}$ .

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Step 2.1

Combine $\ln (0.15)$ and $\frac{22}{\ln (\frac{1}{2})}$ .

$\frac{\ln (0.15) \cdot 22}{\ln (\frac{1}{2})}$

Step 2.2

Reorder $\ln (0.15)$ and $22$ .

$\frac{22 \cdot \ln (0.15)}{\ln (\frac{1}{2})}$

Step 2.3

Simplify $22 \cdot \ln (0.15)$ by moving $22$ inside the logarithm.

$\frac{\ln ({0.15}^{22})}{\ln (\frac{1}{2})}$

Step 3

Raise $0.15$ to the power of $22$ .

$\frac{\ln (0)}{\ln (\frac{1}{2})}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{\ln (0)}{\ln (\frac{1}{2})}$

Decimal Form:

$60.21324307 \dots$