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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Section
BuyFindarrow_forward

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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