\((2x-3)^3=(2x-3)^5\\\Rightarrow (2x-3)^3-(2x-3)^5=0\\\Rightarrow (2x-3)^3[1-(2x-3)^2]=0\)
\(\Rightarrow\left[{}\begin{matrix}\left(2x-3\right)^3=0\\1-\left(2x-3\right)^2=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}2x-3=0\\\left(2x-3\right)^2=1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}2x=3\\2x-3=1\\2x-3=-1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\2x=4\\2x=2\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=2\\x=1\end{matrix}\right.\)
\(Vậy:x\in\left\{1;\dfrac{3}{2};2\right\}\)
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