Precalculus (6th Edition)

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

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.2 Exponential Functions - 4.2 Exercises: 73

Answer

$-2$

Work Step by Step

$\left( \dfrac {5}{2}\right) ^{x}=\dfrac {4}{25}\Rightarrow \left( \dfrac {5}{2}\right) ^{x}=\left( \dfrac {2}{5}\right) ^{2}\Rightarrow \left( \dfrac {5}{2}\right) ^{x}=\left( \dfrac {5}{2}\right) ^{-2}\Rightarrow x=-2$
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