Explanation Given information: The function is g ( x ) = 1 + log x . Concept used: The common logarithm states that the logarithm with base 10 is equal to the logarithm without base. It is denoted as, log x = log 10 x The logarithm property states that logarithm of a raised to the power x with base a is equal to x . ln a a x = x Here, a is greater than 0 and x is the variable. Graph: To graph the lines, first make a table of set of values. Then plot the points from the table and join the points to obtain the graph. The function is g ( x ) = 1 + log x . Choose the values of x in the power of 10 to obtain the y - coordinate easily as the given function is of common logarithm. Substitute 10 for x in the function g ( x ) = 1 + log x and then apply the property of logarithm. g ( 10 ) = 1 + log x = 1 + log 10 10 1 = 1 + 1 = 2 Substitute 1 for x in the function g ( x ) = 1 + log x and then apply the property of logarithm. g ( 1 ) = 1 + log 10 1 = 1 + log 10 10 0 = 1 + 0 = 1 Substitute 1 10 for x in the function g ( x ) = 1 + log x and then apply the property of logarithm

7th Edition

ISBN: 9781305115545

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Chapter 4.3, Problem 52E

To determine

To graph:

The function g(x)=1+logx.

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Chapter 4.3, Problem 51E

Chapter 4.3, Problem 53E

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