When $x$ is not $0$ or $1$ and is algebraic, $ln(x) $is transcendental and irrational but since $$\ln(-x) = \ln(x) + i \pi$$ I was wondering if the same is true here for $\ln(-x)$ where $x$ is neither $0$ nor $1$ and is algebraic.
2026-03-27 14:28:39.1774621719
Is $\ln(-x)$ irrational and transcendental?
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