Precalculus (6th Edition)

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

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - Chapter 4 Test Prep - Review Exercises: 48

Answer

$\approx 140.011$

Work Step by Step

$100\left( 1.02\right) ^{x/4}=200\Rightarrow \left( 1.02\right) ^{x/4}=2\Rightarrow \left( 1.02\right) ^{x}=2^{4}\Rightarrow x=\log _{1.02}2^{4}\approx 140.011$
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