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Simplist explanation for e

  1. Oct 22, 2006 #1
    How can one explain the Napierian logarithm without calculus?
     
  2. jcsd
  3. Oct 22, 2006 #2

    Hurkyl

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  4. Oct 22, 2006 #3
    What's with the seemingly arbitrary power of 7; is that an archaic artifact of Napier's? Can one design a slide rule, in theory, that calculates powers by addition of the logarithm of logarithms?
     
  5. Oct 22, 2006 #4

    Hurkyl

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    Napier's logarithm isn't the logarithm we use today -- I would assume the 7 made his tables of logarithms numerically convenient for the numbers of interest.


    You can compute powers with an ordinary slide rule:

    log (a^b) = b * log a

    and we know how to multiply with a slide rule.
     
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