Question

$$\left. \begin{array} { l } { Y } \\ { 3 \times 2 ^ { y + 5 } = 768 } \end{array} \right.$$

Answer

$$x=256/(So*e*rY*l*v*f*o*2^(y+5))$$

Solution


Regroup terms.
\[3SoerYlvfox\times {2}^{y+5}=768\]
Divide both sides by \(3\).
\[SoerYlvfox\times {2}^{y+5}=\frac{768}{3}\]
Simplify  \(\frac{768}{3}\)  to  \(256\).
\[SoerYlvfox\times {2}^{y+5}=256\]
Divide both sides by \(So\).
\[erYlvfox\times {2}^{y+5}=\frac{256}{So}\]
Divide both sides by \(e\).
\[rYlvfox\times {2}^{y+5}=\frac{\frac{256}{So}}{e}\]
Simplify  \(\frac{\frac{256}{So}}{e}\)  to  \(\frac{256}{Soe}\).
\[rYlvfox\times {2}^{y+5}=\frac{256}{Soe}\]
Divide both sides by \(rY\).
\[lvfox\times {2}^{y+5}=\frac{\frac{256}{Soe}}{rY}\]
Simplify  \(\frac{\frac{256}{Soe}}{rY}\)  to  \(\frac{256}{SoerY}\).
\[lvfox\times {2}^{y+5}=\frac{256}{SoerY}\]
Divide both sides by \(l\).
\[vfox\times {2}^{y+5}=\frac{\frac{256}{SoerY}}{l}\]
Simplify  \(\frac{\frac{256}{SoerY}}{l}\)  to  \(\frac{256}{SoerYl}\).
\[vfox\times {2}^{y+5}=\frac{256}{SoerYl}\]
Divide both sides by \(v\).
\[fox\times {2}^{y+5}=\frac{\frac{256}{SoerYl}}{v}\]
Simplify  \(\frac{\frac{256}{SoerYl}}{v}\)  to  \(\frac{256}{SoerYlv}\).
\[fox\times {2}^{y+5}=\frac{256}{SoerYlv}\]
Divide both sides by \(f\).
\[ox\times {2}^{y+5}=\frac{\frac{256}{SoerYlv}}{f}\]
Simplify  \(\frac{\frac{256}{SoerYlv}}{f}\)  to  \(\frac{256}{SoerYlvf}\).
\[ox\times {2}^{y+5}=\frac{256}{SoerYlvf}\]
Divide both sides by \(o\).
\[x\times {2}^{y+5}=\frac{\frac{256}{SoerYlvf}}{o}\]
Simplify  \(\frac{\frac{256}{SoerYlvf}}{o}\)  to  \(\frac{256}{SoerYlvfo}\).
\[x\times {2}^{y+5}=\frac{256}{SoerYlvfo}\]
Divide both sides by \({2}^{y+5}\).
\[x=\frac{\frac{256}{SoerYlvfo}}{{2}^{y+5}}\]
Simplify  \(\frac{\frac{256}{SoerYlvfo}}{{2}^{y+5}}\)  to  \(\frac{256}{SoerYlvfo\times {2}^{y+5}}\).
\[x=\frac{256}{SoerYlvfo\times {2}^{y+5}}\]