BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 1.6, Problem 34E

(a)

To determine

To Explain: The natural logarithmic function.

Expert Solution

Explanation of Solution

The natural logarithmic function is denoted as ln x which equals the logarithmic function with base e.

That is, loga(x)=ln(x) where e is a constant or Euler’s number e2.71828183 .

(b)

To determine

To Explain: The common logarithmic function.

Expert Solution

Explanation of Solution

A logarithm with base 10 is said to be a common logarithm which is defined as, log10(x)

(c)

To determine

To sketch: The graphs of the natural logarithm function and the nature exponential function in a common plane.

Expert Solution

Explanation of Solution

Graph:

The natural logarithm function is, y=lnx and the nature exponential function is, y=ex .

Use online graphing calculator and obtain the graphs of the functions y=lnx and y=ex as shown in the Figure1.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.6, Problem 34E

From Figure1, it is observed that the graphs are reflection of each other about the line y=x .

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