If f(n)=prod(i=2)^(n-1)logi(i+1), the va...

If `f(n)=prod_(i=2)^(n-1)log_i(i+1)`, the value of `sum_(k=1)^100f(2^k)` equals

A

5010

B

5050

C

5100

D

5049

Verified by Experts

The correct Answer is:

B

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