SOLUTION: If (N^17) = 2012 and the decimal representation of logN is 0.ABCDE... (where A, B, C, ... are digits), what is the value of the digit B?

Question 1186908: If (N^17) = 2012 and the decimal representation of logN is 0.ABCDE... (where A, B, C, ... are digits), what is the value of the digit B?
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.


You are given

     = 2012.


Take logarithm base 10 of both sides.  You will get

    17*log(N) = log(2012).


Hence,

    log(N) =  = use your calculator and get = 0.1943...


The digit B is 9.    ANSWER

Solved.

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Quite simple and straightforward.

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