Precalculus Examples

$\frac{\ln (\frac{1}{2})}{- 0.028} = t$

Step 1

Rewrite the equation as $t = \frac{\ln (\frac{1}{2})}{- 0.028}$ .

$t = \frac{\ln (\frac{1}{2})}{- 0.028}$

Step 2

Simplify $\frac{\ln (\frac{1}{2})}{- 0.028}$ .

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Step 2.1

Move the negative in front of the fraction.

$t = - \frac{\ln (\frac{1}{2})}{0.028}$

Step 2.2

Replace $e$ with an approximation.

$t = - \frac{\log_{2.71828182} (\frac{1}{2})}{0.028}$

Step 2.3

Divide $1$ by $2$ .

$t = - \frac{\log_{2.71828182} (0.5)}{0.028}$

Step 2.4

Log base $2.71828182$ of $0.5$ is approximately $- 0.69314718$ .

$t = - \frac{- 0.69314718}{0.028}$

Step 2.5

Divide $- 0.69314718$ by $0.028$ .

$t = - - 24.75525644$

Step 2.6

Multiply $- 1$ by $- 24.75525644$ .

$t = 24.75525644$