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2016 = 2^5 + 2^6 + ...+ 2^m (HOMC 2016 J Q1)

Source:

August 6, 2019
algebraexponential equations

Problem Statement

If 2016=25+26+...+2m2016 = 2^5 + 2^6 + ...+ 2^m then mm is equal to
(A): 88 (B): 99 (C): 1010 (D): 1111 (E): None of the above.