AI & Computingarticle2026-10-05

Calculating the Natural Logarithm

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Abstract

In this paper, I record my own exploration of different ways to numerically calculate and approximate the natural logarithm. This paper has no other purpose. I had a nice idea that empirically works really well. Hence, I decided to publish this unpolished draft. I will polish it and add my attempts using Taylor Series to the paper soon. Personal website: WinterNox

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View paper (DOI)Open access version OpenAlexZenodo (CERN European Organization for Nuclear Research)Published 2026-10-05

Authors: WinterNox

Mathematical functions and polynomials Numerical Methods and Algorithms Mathematical and Computational Methods