   Chapter 4.4, Problem 93E ### 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 − 2 ) = f ( x ) − f ( 2 ) , x > 2

To determine

Whether the expression“f(x2)=f(x)f(2)”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(2) by substituting x=2 in the above function as,

f(2)=ln2

Consider the right side of the expression, f(x)f(2)

Substitute the values of f(x) and f(2) in the above expression as,

f(x)f(2)=lnxln2

The property of logarithms for the expression ln(xy) is ln(xy)=lnxlny where x and y are real numbers greater than 0.

Then, apply the property of ln(xy) as,

f(x)f(2)=lnxln2=ln(x

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