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: 43

Answer

$x=\dfrac {e^{\frac {3}{2}}}{4}=\dfrac {\sqrt {e^3}}{4}$

Work Step by Step

$\ln 4x=1.5\Rightarrow \log _{e}4x=\dfrac {3}{2}\Rightarrow 4x=e^{\frac {3}{2}}\Rightarrow $ $x=\dfrac {e^{\frac {3}{2}}}{4}=\dfrac {\sqrt {e^3}}{4}$
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