a)
To graph:
The given two functions on the same viewing rectangle.
a)
![Check Mark](/static/check-mark.png)
Answer to Problem 54E
The required graph is:
Explanation of Solution
Given:
Two logarithmic functions:
Calculation:
Upon entering the given two equations on the TI-84 Plus calculator and then graphing them, we get the required graph as shown below:
b)
To create:
A table of values for the given functions and the graphs using the ‘table’ feature of the calculator.
b)
![Check Mark](/static/check-mark.png)
Answer to Problem 54E
The required table is:
Explanation of Solution
Given:
Two logarithmic functions:
Upon using the ‘table’ feature of the calculator, we get the tables for the given two functions as shown below:
c)
To conclude:
What do the graphs in part (a) and tables in part (b) conclude about the given two functions? Verify the conclusion algebraically.
c)
![Check Mark](/static/check-mark.png)
Answer to Problem 54E
Both the functions have the same graph and the same table. Hence both the functions are equivalent to each other.
Explanation of Solution
Given:
Two logarithmic functions:
From the graphs in part (a) and the tables in part (b), we can see that both the functions are equivalent to each others.
Algebraic verification:
Upon simplifying the first function using properties of logarithm, we get the second function.
Hence, we have verified algebraically that both the functions are the same.
Chapter 3 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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