Calculating the Natural Logarithm

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

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-05
DOI
https://doi.org/10.5281/zenodo.23122654
Primary Topic
Mathematical and Computational Methods
Type
article
Field-Weighted Citation Impact
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article

Calculating the Natural Logarithm

WinterNox
Zenodo (CERN European Organization for Nuclear Research)
Mathematical and Computational Methods
article

Calculating the Natural Logarithm

WinterNox
article en

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

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 12%
Mathematical and Computational Methods
DOIOpen Access PDFOpenAlex
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Calculating the Natural Logarithm — WinterNox · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS