`2^{x+1} .3^y=12^x`
`<=>2^{x+1} .3^y=2^{2x} .3^x`
`<=>\frac{2^{2x}}{2^{x+1}}=\frac{3^y}{3^x}`
`<=>2^{x-1}=3^{y-x}`
`=>`\(\left[\begin{array}{l}x-1=0\\y-x=0\end{array} \right.\)
`<=>`\(\left[ \begin{array}{l}x=1\\x=1\end{array} \right.\)
`Vậy` `x=1` `và` `y=1`