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S.R
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Homework Statement
What is the sum of the following series?
log(3/2)+log(4/3)+log(5/4)+...log(200/199).
Where log(x) is log base 10 of x.
Homework Equations
The Attempt at a Solution
Evidently, the previous form equals:
log(3/2*4/3*5/4*...200/199)
I'm missing something - no patterns are evident to me other than the denominator and numerator of the subsequent terms cancel out.
Any guidance would be appreciated.