An algebra problem by Rishabh Ghosh

Algebra Level pending

Given that 2 2004 2^{2004} is a 604-digit number whose first digit is 1, how many elements of the set S = { 2 0 , 2 1 , 2 2 , … , 2 2003 } S = \{2^0,2^1,2^2,\ldots,2^{2003} \} have a first digit of 4?

194 195 198 27 159 62

Rishabh Ghosh by Rishabh Ghosh , 21, USA

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1 solution

Rishabh Ghosh
Dec 30, 2015

THIS IS FROM AMC 2004 NOT MY PROBLEM

0 Helpful 0 Interesting 0 Brilliant 0 Confused

then write the AMC solution 2004. cz i think it is a lengthy process .if you know the shortcut, i will be happy to learn.

Mohammad Khaza - 3 years, 10 months ago

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