Find nonzero integral solutions of `|1-i|^x=2^xdot`

Explanation

We have,
`|1-i|^(x) = 2^(x)`
`(sqrt(1^(2) +(-1)^(2)))^(x) = 2^(x)`
`rArr (sqrt(2))^(x) = 2^(x)`
`or 2^(x//2) = 1`
`or 2^(x//2) = 2^(x)`
`or 2^(x//2) = 2^(0) or (x)/(2) = 0 or x = 0`
Hence, the given equation has no solution.