Relationship between logarithm and positive integer exponents

Theorem

Let $n$ be a positive integer and let $z \in \mathbb{C}$ such that $-\pi < n \mathrm{arg}(z) \leq \pi$

References

• 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): 4.1.11