Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 6 - Inverse Functions - 6.4* General Logarithmic and Exponential Functions - 6.4* Exercise: 4

Answer

$x^{\sqrt 5}=e^{\sqrt 5lnx}$

Work Step by Step

As we know that $e^{lnx}=x$ Take exponent to the given term $x^{\sqrt 5}$. $x^{\sqrt 5}=e^{lnx^{\sqrt 5}}$ Since, $logx^{y}=xlogy$ Hence, $x^{\sqrt 5}=e^{\sqrt 5lnx}$
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