   Chapter 2, Problem 20RE Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

On the same set of axes, graph the pairs of functions in Exercises 19 and 20. f ( x ) = log x ;     g ( x ) = log ( 1 / 10 ) x

To determine

To Graph: The functions f(x)=logx and g(x)=log(1/10)x on the same axes in the range 3x3.

Explanation

Given Information:

The provided functions are f(x)=logx and g(x)=log(1/10)x and the range set is 3x3.

Graph:

Consider the function,

f(x)=logx

Substitute x=1 in the function f(x)=logx.

f(x)=log1=0

Substitute x=10 in the function f(x)=logx.

f(x)=log10=1

Substitute x=100 in the function f(x)=logx.

f(x)=log100=2

Substitute x=1000 in the function f(x)=logx.

f(x)=log1000=3

Substitute x=10000 in the function f(x)=logx.

f(x)=log10000=4

Represent the values of x and y of the equation f(x)=logx in a tabular form,

 x 1 10 100 1000 10,000 y 0 1 2 3 4

Consider another function g(x)=log(1/10)x

Substitute x=1 in the function g(x)=log(1/10)x.

g(x)=log(1/10)1=0

Substitute x=10 in the function g(x)=log(1/10)x

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