Precalculus Examples

$\frac{\log (\frac{36620.18}{33000})}{4 \cdot \log (1.0175)}$

Step 1

Simplify the numerator.

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Step 1.1

Divide $36620.18$ by $33000$ .

$\frac{\log (1.10970\overline{24})}{4 \cdot \log (1.0175)}$

Step 1.2

Log base $10$ of $1.10970\overline{24}$ is approximately $0.04520653$ .

$\frac{0.04520653}{4 \cdot \log (1.0175)}$

Step 2

Simplify $4 \log (1.0175)$ by moving $4$ inside the logarithm.

$\frac{0.04520653}{\log ({1.0175}^{4})}$

Step 3

Simplify the denominator.

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Step 3.1

Raise $1.0175$ to the power of $4$ .

$\frac{0.04520653}{\log (1.07185903)}$

Step 3.2

Log base $10$ of $1.07185903$ is approximately $0.03013767$ .

$\frac{0.04520653}{0.03013767}$

Step 4

Divide $0.04520653$ by $0.03013767$ .

$1.5000009$