Precalculus Examples

$\frac{0.2}{1 + 0.9} \cdot 7.2 \cdot \log (\frac{115.2}{86.4})$

Step 1

Add $1$ and $0.9$ .

$\frac{0.2}{1.9} \cdot 7.2 \cdot \log (\frac{115.2}{86.4})$

Step 2

Cancel the common factor of $0.2$ .

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Step 2.1

Cancel the common factor.

$\frac{0.2}{1.9} \cdot 7.2 \cdot \log (\frac{115.2}{86.4})$

Step 2.2

Rewrite the expression.

$\frac{1}{1.9} \cdot \frac{7.2}{5} \cdot \log (\frac{115.2}{86.4})$

Step 3

Multiply $\frac{1}{1.9}$ by $\frac{7.2}{5}$ .

$\frac{7.2}{1.9 \cdot 5} \cdot \log (\frac{115.2}{86.4})$

Step 4

Simplify the expression.

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Step 4.1

Multiply $1.9$ by $5$ .

$\frac{7.2}{9.5} \cdot \log (\frac{115.2}{86.4})$

Step 4.2

Divide $7.2$ by $9.5$ .

$0.75789473 \cdot \log (\frac{115.2}{86.4})$

Step 4.3

Divide $115.2$ by $86.4$ .

$0.75789473 \cdot \log (1.\overline{3})$

Step 5

Log base $10$ of $1.\overline{3}$ is approximately $0.12493873$ .

$0.75789473 \cdot 0.12493873$

Step 6

Multiply $0.75789473$ by $0.12493873$ .

$0.09469041$