Precalculus Examples

$\frac{\log (\frac{17}{4})}{\log (1 + \frac{0.05}{12})}$

Step 1

Simplify the denominator.

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Step 1.1

Divide $0.05$ by $12$ .

$\frac{\log (\frac{17}{4})}{\log (1 + 0.0041\overline{6})}$

Step 1.2

Add $1$ and $0.0041\overline{6}$ .

$\frac{\log (\frac{17}{4})}{\log (1.0041\overline{6})}$

Step 1.3

Log base $10$ of $1.0041\overline{6}$ is approximately $0.0018058$ .

$\frac{\log (\frac{17}{4})}{0.0018058}$

Step 2

Divide $17$ by $4$ .

$\frac{\log (4.25)}{0.0018058}$

Step 3

Log base $10$ of $4.25$ is approximately $0.62838893$ .

$\frac{0.62838893}{0.0018058}$

Step 4

Divide $0.62838893$ by $0.0018058$ .

$347.98351403$