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: 73

Answer

$x_{1}=0;x_{2}=\dfrac {5}{2}$

Work Step by Step

$\ln \left( 4x-2\right) -\ln 4=-\ln \left( x-2\right) \Rightarrow \ln \left( 4x-2\right) +\ln \left( x-2\right) =\ln 4$ $\ln \left( 4x-2\right) \left( x-2\right) =\ln 4\Rightarrow \left( 4x-2\right) \left( x-2\right) =4$ $4x^{2}-10x+4=4\Rightarrow 4x^{2}=10x\Rightarrow x_{1}=0;x_{2}=\dfrac {5}{2}$
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