Precalculus Examples

$\frac{2}{3} \cdot \log (\frac{5.96 \cdot 10^{16}}{10^{4.4}})$

Step 1

Divide using scientific notation.

Tap for more steps...

Step 1.1

Group coefficients together and exponents together to divide numbers in scientific notation.

$\frac{2}{3} \cdot \log ((\frac{5.96}{1}) (\frac{10^{16}}{10^{4.4}}))$

Step 1.2

Divide $5.96$ by $1$ .

$\frac{2}{3} \cdot \log (5.96 \frac{10^{16}}{10^{4.4}})$

Step 1.3

Subtract the exponent from the denominator from the exponent of the numerator for the same base

$\frac{2}{3} \cdot \log (5.96 \cdot 10^{16 + 4.4 \cdot - 1})$

Step 1.4

Multiply $4.4$ by $- 1$ .

$\frac{2}{3} \cdot \log (5.96 \cdot 10^{16 - 4.4})$

Step 1.5

Subtract $4.4$ from $16$ .

$\frac{2}{3} \cdot \log (5.96 \cdot 10^{11.6})$

Step 2

Raise $10$ to the power of $11.6$ .

$\frac{2}{3} \cdot \log (5.96 \cdot 398107170553.497)$

Step 3

Multiply $5.96$ by $398107170553.497$ .

$\frac{2}{3} \cdot \log (2372718736498.84212)$

Step 4

Log base $10$ of $2372718736498.84212$ is approximately $12.37524625$ .

$\frac{2}{3} \cdot 12.37524625$

Step 5

Multiply $\frac{2}{3} \cdot 12.37524625$ .

Tap for more steps...

Step 5.1

Combine $\frac{2}{3}$ and $12.37524625$ .

$\frac{2 \cdot 12.37524625}{3}$

Step 5.2

Multiply $2$ by $12.37524625$ .

$\frac{24.75049251}{3}$

Step 6

Divide $24.75049251$ by $3$ .

$8.25016417$