   Chapter 4.4, Problem 15E ### 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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# Graphing Logarithmic Functions In Exercises 13–20, sketch the graph of the function. See Example 1. y = ln   2 x

To determine

To graph: The function y=ln(2x).

Explanation

Given Information:

The provided function is y=ln(2x).

Graph:

Consider the function, y=ln(2x)

The natural logarithmic function is defined only for positive values, so the domain of the function, y=ln(2x) is 2x>0 or x>0.

As the domain is x>0, then take the value of x greater than 0.

To draw the graph of y=ln(2x), first compute the value of y for different values of x.

Compute the value of y at x=0.25 by substituting x=0.25 in the equation y=ln(2x) as,

y(0.25)=ln(2(0.25))=ln(0.5)=0.693

Compute the value of y at x=0.5 by substituting x=0.5 in the equation y=ln(2x) as,

y(0.5)=ln(2(0.5))=ln(1)=0

Compute the value of y at x=1 by substituting x=1 in the equation y=ln(2x) as,

y(1)=ln(2(1))=ln(2)=0.693

Compute the value of y at x=3 by substituting x=3 in the equation y=ln(2x) as,

y(3)=ln(2(3))=ln(6)=1

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