Question

\(a,2^{x+1}\cdot3^y=12^x\)

 

Answer 1

Lời giải:

** $x,y$ là số tự nhiên
$2^{x+1}.3^y=12^{x}=(2^2.3)^x=2^{2x}.3^x$

$\Rightarrow x+1=2x; y=x$

$\Rightarrow x=y=1$

Answer 2

a) Ta có: \(2^{x+1}\cdot3^y=12^x\)

\(\Leftrightarrow2^{x+1}\cdot3^y=2^{2x}\cdot3^x\)

\(\Leftrightarrow\left\{{}\begin{matrix}2x-x=1\\x=y\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=1\\y=1\end{matrix}\right.\)