Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 5 - Logarithmic Functions - 5.2 Logarithms and Exponential Models - Exercises and Problems for Section 5.2 - Exercises and Problems - Page 200: 6

Answer

$Q=0.3(2.0138)^t$

Work Step by Step

Recall the property $(a^m)^n=a^{mn}$. The equation can be rewritten as $$Q=0.3(e^{0.7})^t ~~~~(1)$$ Evaluating $e^{0.7}$ yields $2.0138$. Therefore, equation (1) can be written as $Q=0.3(2.0138)^t$.
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