返回题库

HMMT 十一月 2011 · 冲刺赛 · 第 3 题

HMMT November 2011 — Guts Round — Problem 3

专题
Contest Math / 竞赛数学
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 .
    4 ANNUAL HARVARD-MIT NOVEMBER TOURNAMENT, 12 NOVEMBER 2011 — GUTS ROUNDTH
    Round 2
    √ √ √

英文原题

[5]
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
4 TH ANNUAL HARVARD-MIT NOVEMBER TOURNAMENT, 12 NOVEMBER 2011— GUTS ROUND
School Team Team ID#

解析

英文解析

  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 .
    √ √ √