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HMMT 十一月 2011 · 冲刺赛 · 第 3 题

HMMT November 2011 — Guts Round — Problem 3

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [ 5 ] Let x be a real number such that 2 = 3. Determine the value of 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . TH 4 ANNUAL HARVARD-MIT NOVEMBER TOURNAMENT, 12 NOVEMBER 2011 — GUTS ROUND Round 2 √ √ √
解析
  1. [ 5 ] Let x be a real number such that 2 = 3. Determine the value of 4 . Answer: 11664 We have 3 x +2 3 x 2 2 3 x 6 x x 6 6 4 = 4 · 4 = (2 ) · 16 = 2 · 16 = (2 ) · 16 = 3 · 16 = 11664 . √ √ √