Remove parentheses.
\[=5Evaluate\times \frac{3\times {4}^{x}+{4}^{x-1}}{13\times {4}^{x}}\]
Divide both sides by \(5\).
\[\frac{1}{5}=Evaluate\times \frac{3\times {4}^{x}+{4}^{x-1}}{13\times {4}^{x}}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{1}{5}=\frac{Evaluate(3\times {4}^{x}+{4}^{x-1})}{13\times {4}^{x}}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\frac{1}{5}=\frac{Ev{a}^{2}lute(3\times {4}^{x}+{4}^{x-1})}{13\times {4}^{x}}\]
Regroup terms.
\[\frac{1}{5}=\frac{Eve{a}^{2}lut(3\times {4}^{x}+{4}^{x-1})}{13\times {4}^{x}}\]
Multiply both sides by \(13\times {4}^{x}\).
\[\frac{1}{5}\times 13\times {4}^{x}=Eve{a}^{2}lut(3\times {4}^{x}+{4}^{x-1})\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{1\times 13\times {4}^{x}}{5}=Eve{a}^{2}lut(3\times {4}^{x}+{4}^{x-1})\]
Simplify \(1\times 13\times {4}^{x}\) to \(13\times {4}^{x}\).
\[\frac{13\times {4}^{x}}{5}=Eve{a}^{2}lut(3\times {4}^{x}+{4}^{x-1})\]
Divide both sides by \(Ev\).
\[\frac{\frac{13\times {4}^{x}}{5}}{Ev}=e{a}^{2}lut(3\times {4}^{x}+{4}^{x-1})\]
Simplify \(\frac{\frac{13\times {4}^{x}}{5}}{Ev}\) to \(\frac{13\times {4}^{x}}{5Ev}\).
\[\frac{13\times {4}^{x}}{5Ev}=e{a}^{2}lut(3\times {4}^{x}+{4}^{x-1})\]
Divide both sides by \(e\).
\[\frac{\frac{13\times {4}^{x}}{5Ev}}{e}={a}^{2}lut(3\times {4}^{x}+{4}^{x-1})\]
Simplify \(\frac{\frac{13\times {4}^{x}}{5Ev}}{e}\) to \(\frac{13\times {4}^{x}}{5Eve}\).
\[\frac{13\times {4}^{x}}{5Eve}={a}^{2}lut(3\times {4}^{x}+{4}^{x-1})\]
Divide both sides by \({a}^{2}\).
\[\frac{\frac{13\times {4}^{x}}{5Eve}}{{a}^{2}}=lut(3\times {4}^{x}+{4}^{x-1})\]
Simplify \(\frac{\frac{13\times {4}^{x}}{5Eve}}{{a}^{2}}\) to \(\frac{13\times {4}^{x}}{5Eve{a}^{2}}\).
\[\frac{13\times {4}^{x}}{5Eve{a}^{2}}=lut(3\times {4}^{x}+{4}^{x-1})\]
Divide both sides by \(l\).
\[\frac{\frac{13\times {4}^{x}}{5Eve{a}^{2}}}{l}=ut(3\times {4}^{x}+{4}^{x-1})\]
Simplify \(\frac{\frac{13\times {4}^{x}}{5Eve{a}^{2}}}{l}\) to \(\frac{13\times {4}^{x}}{5Eve{a}^{2}l}\).
\[\frac{13\times {4}^{x}}{5Eve{a}^{2}l}=ut(3\times {4}^{x}+{4}^{x-1})\]
Divide both sides by \(t\).
\[\frac{\frac{13\times {4}^{x}}{5Eve{a}^{2}l}}{t}=u(3\times {4}^{x}+{4}^{x-1})\]
Simplify \(\frac{\frac{13\times {4}^{x}}{5Eve{a}^{2}l}}{t}\) to \(\frac{13\times {4}^{x}}{5Eve{a}^{2}lt}\).
\[\frac{13\times {4}^{x}}{5Eve{a}^{2}lt}=u(3\times {4}^{x}+{4}^{x-1})\]
Divide both sides by \(3\times {4}^{x}+{4}^{x-1}\).
\[\frac{\frac{13\times {4}^{x}}{5Eve{a}^{2}lt}}{3\times {4}^{x}+{4}^{x-1}}=u\]
Simplify \(\frac{\frac{13\times {4}^{x}}{5Eve{a}^{2}lt}}{3\times {4}^{x}+{4}^{x-1}}\) to \(\frac{13\times {4}^{x}}{5Eve{a}^{2}lt(3\times {4}^{x}+{4}^{x-1})}\).
\[\frac{13\times {4}^{x}}{5Eve{a}^{2}lt(3\times {4}^{x}+{4}^{x-1})}=u\]
Switch sides.
\[u=\frac{13\times {4}^{x}}{5Eve{a}^{2}lt(3\times {4}^{x}+{4}^{x-1})}\]
u=(13*4^x)/(5*Ev*e*a^2*l*t*(3*4^x+4^(x-1)))
