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 - Page 463: 3


$4^{-\pi}=e^{-\pi ln4}$

Work Step by Step

As we know that $e^{lnx}=x$ Take exponent to the given term $4^{-\pi}$. $4^{-\pi}=e^{ln4^{-\pi}}=x$ Since, $logx^{y}=xlogy$ Hence, $4^{-\pi}=e^{-\pi ln4}$
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