Precalculus Examples

$\frac{\ln (\frac{20000}{16000})}{5.25}$

Step 1

Cancel the common factor of $20000$ and $16000$ .

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Step 1.1

Factor $4000$ out of $20000$ .

$\frac{\ln (\frac{4000 (5)}{16000})}{5.25}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $4000$ out of $16000$ .

$\frac{\ln (\frac{4000 \cdot 5}{4000 \cdot 4})}{5.25}$

Step 1.2.2

Cancel the common factor.

$\frac{\ln (\frac{4000 \cdot 5}{4000 \cdot 4})}{5.25}$

Step 1.2.3

Rewrite the expression.

$\frac{\ln (\frac{5}{4})}{5.25}$

Step 2

Replace $e$ with an approximation.

$\frac{\log_{2.71828182} (\frac{5}{4})}{5.25}$

Step 3

Divide $5$ by $4$ .

$\frac{\log_{2.71828182} (1.25)}{5.25}$

Step 4

Log base $2.71828182$ of $1.25$ is approximately $0.22314355$ .

$\frac{0.22314355}{5.25}$

Step 5

Divide $0.22314355$ by $5.25$ .

$0.04250353$