Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.4 - Exponential Functions - 1.4 Exercises - Page 54: 28

Answer

$f(x)=e^x$ becomes larger than $1,000,000,000$ when $x=20.723$.

Work Step by Step

We are asked to graph $f(x)=e^x$ and determine the place where it becomes larger than $1,000,000,000$. We can do this fairly simply by making another equation, $g(x)=1000000000$ and setting them equal to each other. We see that the intersection occurs at $x=20.723$.
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