Precalculus Examples

$\frac{\ln (\frac{2000}{1000})}{0.19}$

Step 1

Cancel the common factor of $2000$ and $1000$ .

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Step 1.1

Factor $1000$ out of $2000$ .

$\frac{\ln (\frac{1000 \cdot 2}{1000})}{0.19}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $1000$ out of $1000$ .

$\frac{\ln (\frac{1000 \cdot 2}{1000 (1)})}{0.19}$

Step 1.2.2

Cancel the common factor.

$\frac{\ln (\frac{1000 \cdot 2}{1000 \cdot 1})}{0.19}$

Step 1.2.3

Rewrite the expression.

$\frac{\ln (\frac{2}{1})}{0.19}$

Step 1.2.4

Divide $2$ by $1$ .

$\frac{\ln (2)}{0.19}$

Step 2

Replace $e$ with an approximation.

$\frac{\log_{2.71828182} (2)}{0.19}$

Step 3

Log base $2.71828182$ of $2$ is approximately $0.69314718$ .

$\frac{0.69314718}{0.19}$

Step 4

Divide $0.69314718$ by $0.19$ .

$3.64814305$