Finite Math Examples

$\log (\frac{13}{\frac{3}{\log (1 + \frac{0.08}{12})}})$

Step 1

Divide $0.08$ by $12$ .

$\log (\frac{13}{\frac{3}{\log (1 + 0.00\overline{6})}})$

Step 2

Add $1$ and $0.00\overline{6}$ .

$\log (\frac{13}{\frac{3}{\log (1.00\overline{6})}})$

Step 3

Log base $10$ of $1.00\overline{6}$ is approximately $0.00288568$ .

$\log (\frac{13}{\frac{3}{0.00288568}})$

Step 4

Rewrite $\log (\frac{13}{\frac{3}{0.00288568}})$ as $\log (13) - \log (\frac{3}{0.00288568})$ .

$\log (13) - \log (\frac{3}{0.00288568})$

Step 5

Rewrite $\log (\frac{3}{0.00288568})$ as $\log (3) - \log (0.00288568)$ .

$\log (13) - (\log (3) - \log (0.00288568))$

Step 6

Log base $10$ of $0.00288568$ is approximately $- 2.53975059$ .

$\log (13) - (\log (3) - - 2.53975059)$

Step 7

Multiply $- 1$ by $- 2.53975059$ .

$\log (13) - (\log (3) + 2.53975059)$

Step 8

Add $\log (3)$ and $2.53975059$ .

$\log (13) - 1 \cdot 3.01687184$

Step 9

Multiply $- 1$ by $3.01687184$ .

$\log (13) - 3.01687184$

Step 10

Subtract $3.01687184$ from $\log (13)$ .

$- 1.90292849$