Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[Findth{e}^{2}valuof{x}^{2}\times 2\times {3}^{x-1}=3\times {2}^{x-1}\]
Regroup terms.
\[2Fi{e}^{2}ndthvaluof{x}^{2}\times {3}^{x-1}=3\times {2}^{x-1}\]
Divide both sides by \(2\).
\[Fi{e}^{2}ndthvaluof{x}^{2}\times {3}^{x-1}=\frac{3\times {2}^{x-1}}{2}\]
Divide both sides by \(Fi\).
\[{e}^{2}ndthvaluof{x}^{2}\times {3}^{x-1}=\frac{\frac{3\times {2}^{x-1}}{2}}{Fi}\]
Simplify \(\frac{\frac{3\times {2}^{x-1}}{2}}{Fi}\) to \(\frac{3\times {2}^{x-1}}{2Fi}\).
\[{e}^{2}ndthvaluof{x}^{2}\times {3}^{x-1}=\frac{3\times {2}^{x-1}}{2Fi}\]
Divide both sides by \({e}^{2}\).
\[ndthvaluof{x}^{2}\times {3}^{x-1}=\frac{\frac{3\times {2}^{x-1}}{2Fi}}{{e}^{2}}\]
Simplify \(\frac{\frac{3\times {2}^{x-1}}{2Fi}}{{e}^{2}}\) to \(\frac{3\times {2}^{x-1}}{2Fi{e}^{2}}\).
\[ndthvaluof{x}^{2}\times {3}^{x-1}=\frac{3\times {2}^{x-1}}{2Fi{e}^{2}}\]
Divide both sides by \(d\).
\[nthvaluof{x}^{2}\times {3}^{x-1}=\frac{\frac{3\times {2}^{x-1}}{2Fi{e}^{2}}}{d}\]
Simplify \(\frac{\frac{3\times {2}^{x-1}}{2Fi{e}^{2}}}{d}\) to \(\frac{3\times {2}^{x-1}}{2Fi{e}^{2}d}\).
\[nthvaluof{x}^{2}\times {3}^{x-1}=\frac{3\times {2}^{x-1}}{2Fi{e}^{2}d}\]
Divide both sides by \(t\).
\[nhvaluof{x}^{2}\times {3}^{x-1}=\frac{\frac{3\times {2}^{x-1}}{2Fi{e}^{2}d}}{t}\]
Simplify \(\frac{\frac{3\times {2}^{x-1}}{2Fi{e}^{2}d}}{t}\) to \(\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dt}\).
\[nhvaluof{x}^{2}\times {3}^{x-1}=\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dt}\]
Divide both sides by \(h\).
\[nvaluof{x}^{2}\times {3}^{x-1}=\frac{\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dt}}{h}\]
Simplify \(\frac{\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dt}}{h}\) to \(\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dth}\).
\[nvaluof{x}^{2}\times {3}^{x-1}=\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dth}\]
Divide both sides by \(v\).
\[naluof{x}^{2}\times {3}^{x-1}=\frac{\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dth}}{v}\]
Simplify \(\frac{\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dth}}{v}\) to \(\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthv}\).
\[naluof{x}^{2}\times {3}^{x-1}=\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthv}\]
Divide both sides by \(a\).
\[nluof{x}^{2}\times {3}^{x-1}=\frac{\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthv}}{a}\]
Simplify \(\frac{\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthv}}{a}\) to \(\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthva}\).
\[nluof{x}^{2}\times {3}^{x-1}=\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthva}\]
Divide both sides by \(l\).
\[nuof{x}^{2}\times {3}^{x-1}=\frac{\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthva}}{l}\]
Simplify \(\frac{\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthva}}{l}\) to \(\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthval}\).
\[nuof{x}^{2}\times {3}^{x-1}=\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthval}\]
Divide both sides by \(u\).
\[nof{x}^{2}\times {3}^{x-1}=\frac{\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthval}}{u}\]
Simplify \(\frac{\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthval}}{u}\) to \(\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthvalu}\).
\[nof{x}^{2}\times {3}^{x-1}=\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthvalu}\]
Divide both sides by \(o\).
\[nf{x}^{2}\times {3}^{x-1}=\frac{\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthvalu}}{o}\]
Simplify \(\frac{\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthvalu}}{o}\) to \(\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthvaluo}\).
\[nf{x}^{2}\times {3}^{x-1}=\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthvaluo}\]
Divide both sides by \(f\).
\[n{x}^{2}\times {3}^{x-1}=\frac{\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthvaluo}}{f}\]
Simplify \(\frac{\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthvaluo}}{f}\) to \(\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthvaluof}\).
\[n{x}^{2}\times {3}^{x-1}=\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthvaluof}\]
Divide both sides by \({x}^{2}\).
\[n\times {3}^{x-1}=\frac{\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthvaluof}}{{x}^{2}}\]
Simplify \(\frac{\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthvaluof}}{{x}^{2}}\) to \(\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthvaluof{x}^{2}}\).
\[n\times {3}^{x-1}=\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthvaluof{x}^{2}}\]
Divide both sides by \({3}^{x-1}\).
\[n=\frac{\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthvaluof{x}^{2}}}{{3}^{x-1}}\]
Simplify \(\frac{\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthvaluof{x}^{2}}}{{3}^{x-1}}\) to \(\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthvaluof{x}^{2}\times {3}^{x-1}}\).
\[n=\frac{3\times {2}^{x-1}}{2Fi{e}^{2}dthvaluof{x}^{2}\times {3}^{x-1}}\]
n=(3*2^(x-1))/(2*Fi*e^2*d*t*h*v*a*l*u*o*f*x^2*3^(x-1))
