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: 83

Answer

$\approx5~years$

Work Step by Step

$N=5.5·10^{0.23x}$ $78=5.5·10^{0.23x}$ $\frac{78}{5.5}=10^{0.23x}$ $\log10^{0.23x}=\log\frac{78}{5.5}$ $0.23x=\log\frac{78}{5.5}$ $x=\frac{\log\frac{78}{5.5}}{0.23}=5.008$
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