Answer
$2.811$
Work Step by Step
Take $ln$ on both sides to get $0.4x\ lne=(x-2)ln4\longrightarrow 0.4x=x\ ln4-2ln4\longrightarrow (ln4-0.4)x=2ln4$, thus $x=\frac{2ln4}{ln4-0.4}\approx2.811$
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 - Test - Page 496: 15
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