Precalculus Examples

$\frac{\ln (0.138)}{- 0.00012} = t$

Step 1

Rewrite the equation as $t = \frac{\ln (0.138)}{- 0.00012}$ .

$t = \frac{\ln (0.138)}{- 0.00012}$

Step 2

Simplify $\frac{\ln (0.138)}{- 0.00012}$ .

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Step 2.1

Move the negative in front of the fraction.

$t = - \frac{\ln (0.138)}{0.00012}$

Step 2.2

Replace $e$ with an approximation.

$t = - \frac{\log_{2.71828182} (0.138)}{0.00012}$

Step 2.3

Log base $2.71828182$ of $0.138$ is approximately $- 1.98050159$ .

$t = - \frac{- 1.98050159}{0.00012}$

Step 2.4

Divide $- 1.98050159$ by $0.00012$ .

$t = - - 16504.17994854$

Step 2.5

Multiply $- 1$ by $- 16504.17994854$ .

$t = 16504.17994854$