Calculus Examples

$\frac{0.5}{(0.184 \cdot 10^{- 3}) \ln (\frac{93.4}{93.4 - 65.3})}$

Step 1

Move $10^{- 3}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{0.5 \cdot 10^{3}}{0.184 \ln (\frac{93.4}{93.4 - 65.3})}$

Step 2

Subtract $65.3$ from $93.4$ .

$\frac{0.5 \cdot 10^{3}}{0.184 \ln (\frac{93.4}{28.1})}$

Step 3

Move the decimal point in $0.5$ to the right by $1$ place and decrease the power of $10^{3}$ by $1$ .

$\frac{5 \cdot 10^{2}}{0.184 \ln (\frac{93.4}{28.1})}$

Step 4

Simplify $0.184 \ln (\frac{93.4}{28.1})$ by moving $0.184$ inside the logarithm.

$\frac{5 \cdot 10^{2}}{\ln ({(\frac{93.4}{28.1})}^{0.184})}$

Step 5

Simplify the denominator.

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Step 5.1

Divide $93.4$ by $28.1$ .

$\frac{5 \cdot 10^{2}}{\ln ({3.32384341}^{0.184})}$

Step 5.2

Raise $3.32384341$ to the power of $0.184$ .

$\frac{5 \cdot 10^{2}}{\ln (1.24733142)}$

Step 6

The result can be shown in multiple forms.

Scientific Notation:

$\frac{5 \cdot 10^{2}}{\ln (1.24733142)}$

Expanded Form:

$2262.37786602$