Bài 1:
\(a,\Leftrightarrow2^x=2^4\Leftrightarrow x=4\\ b,\Leftrightarrow x^{50}-x=0\\ \Leftrightarrow x\left(x^{49}-1\right)=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\\ c,\Leftrightarrow x^3=\left(-3\right)^3\Leftrightarrow x=-3\\ d,\Leftrightarrow\left(2x-1\right)^3=2^3\Leftrightarrow2x-1=2\Leftrightarrow x=\dfrac{3}{2}\\ e,\Leftrightarrow\left[{}\begin{matrix}x-2=4\\x-2=-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=6\\x=-2\end{matrix}\right.\\ f,\Leftrightarrow\left[{}\begin{matrix}2x-3=3\\2x-3=-3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=3\\x=0\end{matrix}\right.\)
Bài 2:
\(\Leftrightarrow x^5-x^2=0\Leftrightarrow x^2\left(x^3-1\right)=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x^3=1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)
Bài 3:
\(\Leftrightarrow\left(3y-1\right)^{20}-\left(3y-1\right)^{10}=0\\ \Leftrightarrow\left(3y-1\right)^{10}\left[\left(3y-1\right)^{10}-1\right]=0\\ \Leftrightarrow\left[{}\begin{matrix}3y-1=0\\\left(3y-1\right)^{10}=1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}3y=1\\3y-1=1\\3y-1=-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}y=\dfrac{1}{3}\\y=\dfrac{2}{3}\\y=0\end{matrix}\right.\)
Bài 4:
\(\Leftrightarrow\left[{}\begin{matrix}x-5=1-3x\\x-5=3x-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=-2\end{matrix}\right.\)
