\(5^{\left(x-2\right)\left(x+3\right)}=1\)
\(\Rightarrow\left(x-2\right)\left(x+3\right)=0\)
\(\Rightarrow x-2=0\) hoặc \(x+3=0\)
TH1: x-2=0⇒x=2
TH2: x+3=0⇒x=-3
Vậy x=0 hoặc x=-3
Ta có: 5(x−2)(x+3)=1
=> 5(x−2)(x+3) = 50
=> (x - 2)(x + 3) = 0
=>\(\left[{}\begin{matrix}x-2=0\\x+3=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=2\\x=-3\end{matrix}\right.\)
Vậy x = 2 hoặc x = -3.