Just by hand, only by hand, nothing but by hand? (Posted on 2004-07-26)
Imagine you are living a lot of years ago, without calculators, slide rules, tables of logarithms, or any kind of tool but paper and pencil... how would you go about calculating log10 of 2 -- or of any other number?
By the way, if your solution required calculating powers, or if you just wanted to check your solution, how would you calculate 10 to the 0.30103... power, or any other?