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Just by hand, only by hand, nothing but by hand? (Posted on 2004-07-26) Difficulty: 4 of 5
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?

See The Solution Submitted by Federico Kereki    
Rating: 4.1667 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution solng Comment 7 of 7 |

We would of course have to use Taylor series, Newton -Rhapson etc, sacrificing accuracy for computational time

For log x the Pade approximation of log(1+x) is x(6+x)/(6+4x)

which for x = 1 gives 0.7

the McClaurin series of log(1+x) is x-(x^2)/2 + (X^3)/3 + ...

which evaluated for 10  terms is 0.7

 


  Posted by neshal on 2004-08-02 07:19:58
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