Precalculus Examples

$\frac{1}{0.01} \cdot \ln (\frac{44}{38})$

Step 1

Divide $1$ by $0.01$ .

$100 \cdot \ln (\frac{44}{38})$

Step 2

Cancel the common factor of $44$ and $38$ .

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Step 2.1

Factor $2$ out of $44$ .

$100 \cdot \ln (\frac{2 (22)}{38})$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $38$ .

$100 \cdot \ln (\frac{2 \cdot 22}{2 \cdot 19})$

Step 2.2.2

Cancel the common factor.

$100 \cdot \ln (\frac{2 \cdot 22}{2 \cdot 19})$

Step 2.2.3

Rewrite the expression.

$100 \cdot \ln (\frac{22}{19})$

Step 3

Simplify $100 \ln (\frac{22}{19})$ by moving $100$ inside the logarithm.

$\ln ({(\frac{22}{19})}^{100})$

Step 4

Apply the product rule to $\frac{22}{19}$ .

$\ln (\frac{22^{100}}{19^{100}})$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\ln (\frac{22^{100}}{19^{100}})$

Decimal Form:

$14.66034741 \dots$