Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 7 - Exponential Functions - 7.4 Exponential Growth and Decay - Exercises - Page 349: 2


(a) $ t=\frac{\ln10}{5}$ (b) $ \frac{\ln 2}{5}$

Work Step by Step

(a) We have $$10=e^{5t}\\ 5t=\ln 10\\ t=\frac{\ln10}{5}$$ (b) The doubling time for $ P $ is given by $\frac{\ln 2}{k}=\frac{\ln 2}{5}$.
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