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: 27

Answer

$$x=-0.631$$

Work Step by Step

$$3^x-0.5=0$$ $$3^x=0.5$$ - Draw the graph of the function $y= 3^x$ - Draw the graph of the function $y=0.5$ - 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 $(-0.631,0.5)$, we conclude that $$x=-0.631$$
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