12 questions linked to/from Motivation for Napier's Logarithms
149 views

What did “logarithm” initially mean? [duplicate]

I just read that logarithms were not initially defined in terms of their inverse relationship to exponential functions (and that Euler was the first to develop them in this way). So how were they ...
32 views

Motivation for logarithmic function [duplicate]

What was John Napier's motivation to introduce the logarithmic function? It neither makes the calculations easier nor accurate (at least for me). How could people think of its importance even before ...
18k views

85 views

What is the intuitive reasoning behind the “change of base” formula in logarithms? [duplicate]

The "change of base" formula in logarithms is: I've seen and I understand each step of the proof, but somehow, when I see the formula as a whole, I fail to grasp it. Why is this true? How do I ...
88 views

History of logarithms and exponentials

A friend and I were discussing the "early transcendentals" terminology used on some calculus books and looked up the phrase, which directed me to this answer: What's the difference between early ...
Something new that I came across called the Napier Logarithm. I was reading the book “Computing: A Historical and Technical Perspective”, and the book says that $$Nap.log x = 10^7(\log_e(10^7/x))$$ I ...