   Chapter 4.4, Problem 95E ### 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. If  f ( u ) = 2 f ( v ) , then  v = u 2

To determine

Whether the statement “if f(u)=2f(v), then v=u2” 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

Compute the value of f(u) by substituting x=u in the above function as,

f(u)=ln(u)

Compute the value of f(v) by substituting x=v in the above function as,

f(v)=ln(v)

As per the question, f(u)=2f(v) which means that

f(u)=2f(v)ln(u)=2ln(v)

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