University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 1 - Section 1.5 - Exponential Functions - Exercises - Page 38: 28



Work Step by Step

$$3-2^{-x}=0$$ $$2^{-x}=3$$ - Draw the graph of the function $y= 2^{-x}$ - Draw the graph of the function $y=3$ - Trace the point of intersection of the 2 graphs, the $x$ value of which is the answer to the given equation. Thus, from the graph, as the point of intersection is $(-1.585,3)$, we conclude that $$x=-1.585$$
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