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PUMaC 2019 · 代数（B 组） · 第 2 题

PUMaC 2019 — Algebra (Division B) — Problem 2

专题
Discrete Math / 离散数学
难度
L3
来源
PUMaC

题目详情

  1. If x is a real number so 3 = 27 x , compute log ( ). 3 3 3 x 2 2 2 2
解析
  1. If x is a real number so 3 = 27 x , compute log ( ). 3 3 3 x Answer: 81 Proposed by: Frank Lu 27 x 3 We plug in the condition that we were given initially to get a value of log ( ). We can 27 3 x x 27 27 27 (3 ) 27 ∗ x 27 simplify this by using the equality again to get log ( ) = log ( ) = log (27 ) = 27 27 3 3 3 x x 27 ∗ 3 = 81 . 2 2 2 2