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?
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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 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