Simplist explanation for e

1. Oct 22, 2006

Loren Booda

How can one explain the Napierian logarithm without calculus?

2. Oct 22, 2006

Hurkyl

Staff Emeritus
3. Oct 22, 2006

Loren Booda

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?

4. Oct 22, 2006

Hurkyl

Staff Emeritus
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.