Answer
$$e^5 = 148.413...$$
Work Step by Step
$32^{1/ln2} = (2^5)^{ln(e)/ln2} = 2^{5log_2e} =( 2^{log_2e})^5 =e^5 $
($2^5 = 32; ln(e) =1; ln(a)/ln(b) = log_ba; (a^m)^n = a^{mn} = ({a^n})^m; a^{log_ab}=b$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
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: 110
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