University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 1 - Section 1.6 - Inverse Functions and Logarithms - Exercises - Page 49: 50



Work Step by Step

To solve natural logarithm equations, keep in mind this property: - If $\ln x = \ln a$ then $x=a$ $$\ln y=-t+5$$ - Recall the property: $\ln e^x=x$ That means $-t+5=\ln e^{(-t+5)}=\ln e^{5-t}$ Therefore, $$\ln y = \ln e^{5-t}$$ $$y=e^{5-t}$$
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