   Chapter 4.4, Problem 92E ### 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 ( a z ) = f ( a ) + f ( x ) ,   a > 0 ,   x > 0

To determine

Whether the expression “f(ax)=f(a)+f(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

Compute the value of f(ax) by assume x=ax in the above function as,

f(ax)=ln(ax)

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

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