Precalculus (6th Edition)

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

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.5 Exponential and Logarithmic Equations - 4.5 Exercises: 45

Answer

$x=2-10^{0.5}=2-\sqrt {10}$

Work Step by Step

$\log \left( 2-x\right) =0.5\Rightarrow \log _{10}\left( 2-x\right) =0.5\Rightarrow 2-x=10^{0.5}\Rightarrow $ $x=2-10^{0.5}=2-\sqrt {10}$
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