(a)
To Explain: The natural logarithmic function.
(a)
Explanation of Solution
The natural logarithmic function is denoted as ln x which equals the logarithmic function with base e.
That is,
(b)
To Explain: The common logarithmic function.
(b)
Explanation of Solution
A logarithm with base 10 is said to be a common logarithm which is defined as,
(c)
To sketch: The graphs of the natural logarithm function and the nature exponential function in a common plane.
(c)
Explanation of Solution
Graph:
The natural logarithm function is,
Use online graphing calculator and obtain the graphs of the functions
From Figure1, it is observed that the graphs are reflection of each other about the line
Chapter 1 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning