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

Explanation

To solve the equation \(|1-i|^x = 2^x\) for nonzero integral solutions, we will follow these steps:

### Step 1: Calculate the modulus of \(1-i\)
The modulus of a complex number \(a + bi\) is given by \(\sqrt{a^2 + b^2}\). For \(1-i\):
\[ |1-i| = \sqrt{1^2 + (-1)^2} = \sqrt{1 + 1} = \sqrt{2} \]

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