Precalculus Examples

$\frac{\ln (\frac{5}{60})}{- 0.3}$

Step 1

Cancel the common factor of $5$ and $60$ .

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Step 1.1

Factor $5$ out of $5$ .

$\frac{\ln (\frac{5 (1)}{60})}{- 0.3}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $5$ out of $60$ .

$\frac{\ln (\frac{5 \cdot 1}{5 \cdot 12})}{- 0.3}$

Step 1.2.2

Cancel the common factor.

$\frac{\ln (\frac{5 \cdot 1}{5 \cdot 12})}{- 0.3}$

Step 1.2.3

Rewrite the expression.

$\frac{\ln (\frac{1}{12})}{- 0.3}$

Step 2

Move the negative in front of the fraction.

$- \frac{\ln (\frac{1}{12})}{0.3}$

Step 3

Replace $e$ with an approximation.

$- \frac{\log_{2.71828182} (\frac{1}{12})}{0.3}$

Step 4

Divide $1$ by $12$ .

$- \frac{\log_{2.71828182} (0.08\overline{3})}{0.3}$

Step 5

Log base $2.71828182$ of $0.08\overline{3}$ is approximately $- 2.48490664$ .

$- \frac{- 2.48490664}{0.3}$

Step 6

Divide $- 2.48490664$ by $0.3$ .

$- - 8.28302216$

Step 7

Multiply $- 1$ by $- 8.28302216$ .

$8.28302216$