Find the number of non-zero integral solutions of the equation `|1-i|^x=2^xdot`

Answer

N/a

Explanation

`(1-i)^(x)=2^(x)`
`rArr" "|(1-i)^(x)|=|2^(x)|`
`rArr" "|1-i|^(x)=2^(x)`
`rArr" "(sqrt(1+1))^(x)=2 ^(x)`
`rArr" "2^(x//2)=2^(x)`
`rArr" "2^(x-(x)/(2))=1`
`rArr" "2^((x)/(2))=2^(0)`
`rArr" "(x)/(2)=0 " "rArrx =0`
Therefore, the number of non-zero solutions of given equation = 0