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 am not really familiar with Napier Logarithms, but I want to know how this could be derived.
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This has some info on Napier Logarithms: http://math.stackexchange.com/questions/47927/motivation-for-napiers-logarithms?rq=1 – Jan 07 '16 at 01:59
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This article looks as if it might be interesting from the historical point of view. I believe the multiplication by $10^7$ is nothing but a device to avoid writing decimal points, so that you get for example $12345678$ instead of $1.2345678$. – David Jan 07 '16 at 02:28