Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Review - True-False Quiz: 9

Answer

True

Work Step by Step

The logarithmic function $\ln x$ is increasing, so for a greater input e.g. $b\gt a$, there is a greater output $\ln b\gt\ln a$. It is required that both $a$ and $b$ be greater than $0$ as logarithms can only be taken for positive values. So when $0\lt a\lt b, $ then $\ln a\lt\ln b$.
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