Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.1 Exponential And Logarithmic Functions - Exercises Set 6.1: 18

Answer

$x=e^{2}$

Work Step by Step

Putting a base $e$ under each side gives $e^{\ln(x^{2})}=e^{4}$, or $x^{2}=e^{4}$. Taking the square root of each side gives $x=e^{(4*\frac{1}{2})}=e^{2}$.
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