\(\left(5x-1\right)^6=729\)
\(\Rightarrow\left(5x-1\right)^6=3^6\)
\(\Rightarrow\left[{}\begin{matrix}5x-1=3\\5x-1=-3\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}5x=4\\5x=-2\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{4}{5}\\x=-\dfrac{2}{5}\end{matrix}\right.\)
=>(5x-1)^6=3^6
=>5x-1=3 hoặc 5x-1=-3
=>x=4/5 hoặc x=-2/5