1. The problem statement, all variables and given/known data 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. 2. Relevant equations 3. 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.