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ISI2017-DCG-1

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$\frac{1}{log_kn} = {log_nk}$ and $log_na + log_nb + log_nc= log_nabc$. Given n = 2017!. After simplification it would converted to $log_{2017!}2017! = 1$
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Yes , the option A is right because Log of A base B = 1/ Log B base A.

So we can convert the given expression as SUM of( Log 2 base n, Log 3 base n ,----------Log 2017 base n ).

Further it can be converted as product  of Log(2.3.4.5......2017) base n.=Log ( fact 2017) base n. Now n= fact 2017

Hence the given expression evaluate to 1.
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