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If L=sum(r=7)^2400log7((r+1)/r),M=prod(r...

If `L=sum_(r=7)^2400log_7((r+1)/r),M=prod_(r=2)^1023log_r(r+1)` and `N=sum_(r=2)^2011(1/log_r P)` where `P=(1.2.34.......2011)`, then

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If quad sum_(r=7)^(2400)log_(7)((r+1)/(r)),M=prod_(r=2)^(103)log_(r)(r+1) and N=sum_(r=2)^(2011)((1)/(log_(r)P)) where P=(1.2.34.......2011), then

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