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 $
$x=2-10^{0.5}=2-\sqrt {10}$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
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 - Page 469: 45
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