返回题库

HMMT 十一月 2012 · THM 赛 · 第 1 题

HMMT November 2012 — THM Round — Problem 1

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [ 3 ] If 4 = 2 , find n . 2013 x 2012
解析
  1. [ 3 ] If 4 = 2 , find n . Answer: 4 We rewrite the left hand side as 4 4 9 2 4 2 · 4 2 (2 ) = 2 = 2 , and the right hand side as n n 2 2 − 7 1 ( ) 2 2 128 (2 ) = 2 . n Equating, we find 2 − 7 = 9, yielding n = 4. 2013 x 2012