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OpenStudy (mani_jha):
Before the development of calculators and logarithmic tables, how did mathematicians actually calculate the values of log 2=0.301 and log 3?
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OpenStudy (mani_jha):
@saifoo.khan,@experimentX,
OpenStudy (asnaseer):
It is explained here if you are interested: http://en.wikipedia.org/wiki/Logarithm#History
OpenStudy (experimentx):
log 2 = 1 - 1/2 + 1/3 - 1/4 + 1/5 - ....
OpenStudy (experimentx):
http://www.wolframalpha.com/input/?i=sum%5B%28-1%29%5E%28n%2B1%29%2Fn%2C+n%3D1%2C+n%3Dinf%5D I'm wondering how to calculate ln(3)
OpenStudy (mani_jha):
Cant we do that using the series?
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OpenStudy (experimentx):
Ah yes ... we can do it with Taylor series ... expansion at x=1 http://www.wolframalpha.com/input/?i=expand+ln%281%2Bx%29+at+x%3D1
OpenStudy (experimentx):
Oh ... this is truly interesting http://en.wikipedia.org/wiki/Natural_logarithm_of_2
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