   Chapter 1, Problem 9RQ ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.If 0 < a < b, then In a < In b.

To determine

Whether the statement, if 0<a<b then lna<lnb is true or false.

Explanation

Let the function be f(x)=lnx.

The graph of f(x)=lnx is shown below in Figure 1.

From Figure 1, it is observed that the domain of the function is (0,) and the function f(x)=lnx is an increasing function.

Recall the definition of increasing function, “the function y=f(x) is said be an increasing function on the given interval [a, b] if f(

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