Question

$$tworatina \ln ( number ) between \frac{ 1 }{ 5 } and \frac{ 1 }{ 3 }$$

Answer

$$(e^3*IM*t^3*w^2*o*r*a^3*n^3*b*d*ln(n*u*m*b*e*r))/15$$

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{tworat\imath na(\ln{(number)})between\times 1\times and\times 1}{5\times 3}\]
Regroup terms.
\[\frac{tttwworaaannnbd\imath (\ln{(number)})eee}{5\times 3}\]
Simplify  \(tttwworaaannnbd\imath (\ln{(number)})eee\)  to  \({t}^{3}{w}^{2}or{a}^{3}{n}^{3}bd\imath (\ln{(number)})eee\).
\[\frac{{t}^{3}{w}^{2}or{a}^{3}{n}^{3}bd\imath (\ln{(number)})eee}{5\times 3}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\frac{{t}^{3}{w}^{2}or{a}^{3}{n}^{3}bd\imath \ln{(number)}{e}^{3}}{5\times 3}\]
Regroup terms.
\[\frac{{e}^{3}\imath {t}^{3}{w}^{2}or{a}^{3}{n}^{3}bd\ln{(number)}}{5\times 3}\]
Simplify  \(5\times 3\)  to  \(15\).
\[\frac{{e}^{3}\imath {t}^{3}{w}^{2}or{a}^{3}{n}^{3}bd\ln{(number)}}{15}\]