Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - Chapter 4 Test Prep - Review Exercises - Page 492: 50

Answer

Doesn’t have any real $x$.

Work Step by Step

$\left( \dfrac {1}{2}\right) ^{x}+2=0\Rightarrow \left( \dfrac {1}{2}\right) ^{x}=-2\Rightarrow x=\log _{\dfrac {1}{2}}\left( -2\right) $ This equation doesn’t have any real solution
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