Calculus Examples

$\log (\frac{0.01 \cdot \sqrt[3]{100}}{10^{- 1} \cdot 0.1})$

Step 1

Move $10^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\log (\frac{0.01 \cdot \sqrt[3]{100} \cdot 10}{0.1})$

Step 2

Simplify the numerator.

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Step 2.1

Multiply $0.01$ by $\sqrt[3]{100}$ .

$\log (\frac{0.04641588 \cdot 10}{0.1})$

Step 2.2

Multiply $0.04641588$ by $10$ .

$\log (\frac{0.46415888}{0.1})$

Step 3

Divide $0.46415888$ by $0.1$ .

$\log (4.64158883)$

Step 4

Log base $10$ of $4.64158883$ is approximately $0.\overline{6}$ .

$0.\overline{6}$