`(x-1)^2=1`
`=>(x-1)^2=1^2`
\(\Rightarrow\left[{}\begin{matrix}x-1=1\\x-1=-1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=2\\x=0\end{matrix}\right.\)
`----------`
`7^(2x-6)=49`
`=> 7^(2x-6)=7^2`
`=> 2x-6=7`
`=>2x=7+6`
`=>2x= 13`
`=>x=13:2`
`=>x=13/2`
`--------`
`(2x-16)^7=128`
`=>(2x-16)^7=2^7`
`=>2x-16=2`
`=>2x=2+16`
`=>2x=18`
`=>x=18:2`
`=>x=9`