Question

tìm x

( x+1)\(^{x+1}\)=(x+1)\(^{x+3}\)

giúp với

Answer 1

\(\left(x+1\right)^{x+3}=\left(x+1\right)^{x+1}\)

\(\Leftrightarrow\left(x+1\right)^{x+1}\cdot x\cdot\left(x+2\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=-1\\x=0\\x=-2\end{matrix}\right.\)