Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 5 - 5.4 - Exponential and Logarithmic Equations - 5.4 Exercises - Page 396: 84

Answer

$x=183.47~inches$

Work Step by Step

$N=3500(10^{-0.012x})$ $22=3500(10^{-0.012x})$ $\frac{22}{3500}=10^{-0.012x}$ $\log\frac{22}{3500}=\log10^{-0.012x}$ $-0.012x=\log\frac{22}{3500}$ $x=\frac{\log\frac{22}{3500}}{-0.012}=183.47$
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