Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.5 Exercises - Page 365: 107

Answer

$$e=2.718...$$

Work Step by Step

$5^{1/ln5} =5^{ln(e)/ln(5)} = 5^{log_5e} = e $ ($ln(e) = 1$; $ln(a)/ln(b) = log_ba; a^{log_ab} = b$)
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