How to calculate the common logartithm found in the
How to use Taylor series expansion calculation for the logarithm
function ? I am specifically interested in writing an algorithm for
generating the logarithm tables.
I am a Physics teacher at the sophomore level.
ln(x) = 2 Sum(k=1,inf)(1/(2k-1))((x-1)/(x+1))^2k-1
Then use change of base formula to convert to base 10.
For reference see *Table of Integrals, Series and Products* by I.S.
Gradshteyn and I.M. Ryzhik (Academic Press)
Click here to return to the Mathematics Archives
Update: June 2012