Calculus (3rd Edition)

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

Chapter 7 - Exponential Functions - 7.3 Logarithms and Their Derivatives - Preliminary Questions - Page 342: 5

Answer

The domain of $\ln x $ is $(0,+\infty)$. The range of $\ln x $ is $ (–\infty,+\infty)$.

Work Step by Step

The domain of $\ln x $ is $(0,+\infty)$ because the log function is not defined for negative values or zero. The range of $\ln x $ is $ (–\infty,+\infty)$ because the $y$ value can take on any number.
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