Calculating Logarithms with a Series
Calculating Logarithms with a Series
This series was often used to calculate logarithmic tables:
log(n+1)-log(n)=1+·+·+…
2
2n+1
1
3
1
2
(2n+1)
1
5
1
4
(2n+1)
For , this gives . To calculate , add to the series with , and so on.
n=1
log(2)
log(3)
log(2)
n=2