#### Solved Examples and Worksheet for Graphing Logarithmic Functions

Q1Identify the graph of the function y = - ln(7x) + 4. A. Graph 4
B. Graph 1
C. Graph 3
D. Graph 2

Step: 1
y = - ln(7x) + 4
[Write the function.]
Step: 2
 x 1 2 3 4 y = -ln(7x) + 4 2.05 1.36 0.96 0.67
[Make a table of values.]
Step: 3
The graph of y = - ln(7x) + 4 is as shown.
[Plot the points from the table of values of y = - In(7x) + 4 and join them with a smooth curve.] Correct Answer is :   Graph 2
Q2Identify the graph of the function y = ln(6x). A. Graph 3
B. Graph 1
C. Graph 4
D. Graph 2

Step: 1
y = ln(6x)
[Write the function.]
Step: 2
 x 1 2 3 4 y = ln 6x 1.79 2.48 2.89 3.18
[Make a table of values.]
Step: 3
The graph of y = ln 6x is as shown.
[Plot the points from the table of values of y = ln 6x and join them with a smooth curve.] Correct Answer is :   Graph 1
Q3Identify the graph of the function y = ln(7x). A. Graph 2
B. Graph 3
C. Graph 4
D. Graph 1

Step: 1
y = ln(7x)
[Write the function.]
Step: 2
 x 1 2 3 4 y = ln 7x 1.95 2.64 3.04 3.33
[Make a table of values.]
Step: 3
The graph of y = ln7x is as shown.
[Plot the points from the table of values of y = ln 7x and join them with a smooth curve.] Correct Answer is :   Graph 1
Q4Identify the graph of the function y = ln(8x). A. Graph 3
B. Graph 4
C. Graph 1
D. Graph 2

Step: 1
y =ln(8x)
[Write the function.]
Step: 2
 x 1 2 3 4 y = ln 8x 2.08 2.77 3.18 3.47
[Make a table of values.]
Step: 3
The graph of y = ln8x is as shown.
[Plot the points from the table of values of y = In8x and join them with a smooth curve.] Correct Answer is :   Graph 1
Q5Identify the graph of the function y = ln(9x). A. Graph 2
B. Graph 1
C. Graph 4
D. Graph 3

Step: 1
y = ln(9x)
[Write the function.]
Step: 2
 x 1 2 3 4 y = ln 9x 2.2 2.89 3.3 3.58
[Make a table of values.]
Step: 3
The graph of y = ln 9x is as shown.
[Plot the points from the table of values of y = ln 9x and join them with a smooth curve.] Correct Answer is :   Graph 1
Q6Identify the graph of the function y = - ln (6x). A. Graph 2
B. Graph 3
C. Graph 4
D. Graph 1

Step: 1
y = - ln (6x)
[Write the function.]
Step: 2
 x 1 2 3 4 y = -ln 6x -1.79 -2.48 -2.89 -3.18
[Make a table of values.]
Step: 3
The graph of y = - ln 6x is as shown.
[Plot the points from the table of values of y = - ln6x and join them with a smooth curve.] Correct Answer is :   Graph 2
Q7Identify the graph of the function y = - ln(9x) + 5. A. Graph 2
B. Graph 3
C. Graph 4
D. Graph 1

Step: 1
y = - ln(9x) + 5
[Write the function.]
Step: 2
 x 1 2 3 4 y = -ln(9x) + 5 2.8 2.11 1.7 1.42
[Make a table of values.]
Step: 3
The graph of y = - ln(9x) + 5 is as shown.
[Plot the points from the table of values of y = - ln(9x) + 5 and join them with a smooth curve.] Correct Answer is :   Graph 2
• Graph