Calculus (3rd Edition)

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

Chapter 7 - Exponential Functions - 7.1 Derivative of f(x)=bx and the Number e - Preliminary Questions - Page 326: 2


The domain of $\ln x $ is $(0,\infty)$ and the range is $ R $.

Work Step by Step

Since $\ln x $ is defined only for all $ x\gt 0$, then the domain of $\ln x $ is $(0,\infty)$ also since the output of $\ln x $ is unrestricted, then the range is $ R $. Whenever $ x=e^{-a}, a>0$, the value of $\ln x $ is negative.
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