For all positive real numbers u, log2 u < u. Use this fact and the result of exercise 21
Chapter 11, Problem 52(choose chapter or problem)
For all positive real numbers \(u, \log _{2} u<u\). Use this fact and the result of exercise 21 in Section 11.1 to prove the following: For all integers \(n \geq 1, \log _{2} x<x^{1 / n}\) for all real numbers \(x>(2 n)^{2 n}\).
Text Transcription:
u, \log _2 u<u
n geq 1, \log _2 x<x^{1 / n
x>(2 n)^2 n
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