Question

2^x+1 x 5^y = 20^x

Answer 1

\(2^{x+1}.5^y=20^x\)

=>\(2^{x+1}.5^y=\left(2^2.5\right)^x\)

=>\(2^{x+1}.5^y=2^{2.x}.5^x\)

=>\(2^{x+1}=2^{2x}\) và \(5^y=5^x\)

=>\(x+1=2x\)

=>\(x=1\)

với \(5^y=5^x\)

=>\(x=y\)

=>\(y=1\)

Vậy \(x=1,y=1\)

Chúc Bạn học tốt

Answer 2

\(2^{x+1}.5^y=20^x\)

\(\Leftrightarrow2^{x+1}.5^y=\left(2^2.5\right)^x\)

\(\Leftrightarrow2^{x+1}.5^y=2^{2x}.5^x\)

\(\Leftrightarrow\left\{{}\begin{matrix}2^{x+1}=2^{2x}\\5^y=5^x\end{matrix}\right.\)

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

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

\(\Leftrightarrow x=y=1\)

Vậy ....