Can one be many?

Algebra Level 3

"Let \(z\) be a complex number, if \(z = 1\) then \(z^n = 1\) where \(n\) is a real number"

How can you describe the previous statement?

Notation: \(z^n=e^{n\ln(z)} \), where \(\ln(z)\) is the multiple-valued logarithmic function.

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