lm từng bước giúp mk nhé, cảm ơn
a) \(\left(2x-4\right)\left(x-2\right)^3=0\)
\(\Rightarrow\left[{}\begin{matrix}2x-4=0\\\left(x-2\right)^3=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}2x=4\\x-2-0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=2\\x=2\end{matrix}\right.\)
\(\Rightarrow x=2\)
b) \(3^{x-1}:81=3^3\)
\(\Rightarrow3^{x-1}:3^4=3^3\)
\(\Rightarrow3^{x-1-4}=3^3\)
\(\Rightarrow3^{x-5}=3^3\)
\(\Rightarrow x-5=3\)
\(\Rightarrow x=8\)
c) \(x^{13}=x\)
\(\Rightarrow x^{13}-x=0\)
\(\Rightarrow x\left(x^{12}-1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x^{12}-1=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x^{12}=1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)
d) \(\left(x-9\right)^4=\left(x-9\right)^2\)
\(\Rightarrow\left(x-9\right)^2=x-9\)
\(\Rightarrow\left(x-9\right)^2-\left(x-9\right)=0\)
\(\Rightarrow\left(x-9\right)\left(x-9-1\right)=0\)
\(\Rightarrow\left(x-9\right)\left(x-10\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x-9=0\\x-10=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=9\\x=10\end{matrix}\right.\)
giúp mk vs, cảm ơn trc (lm 1 câu thôi cngx đc)