# 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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