   Chapter 4.4, Problem 94E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# True or False? In Exercises 91-96, determine whether the statement is true or false given that f ( x ) =  In  x . If it is false, explain why or give an example that shows it is false. f ( x ) = 1 2 f ( x )

To determine

Whether the expression “f(x)=12f(x)” is true or false for the given function f(x)=lnx and also give reason or an example in support of the answer.

Explanation

Given Information:

The provided function is f(x)=lnx.

Consider the function, f(x)=lnx

Multiply by 12 to the both side of the provided function,

12f(x)=12lnx

Use the property of logarithms for the expression, lnxn=nlnx where x is real number greater than 0.

Apply the property of lnxn as,

12f(x)=ln(x12)=ln(x)

Now, the value of

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