Title
West Texas A&M University - Home
Virtual Math Lab

College Algebra
Answer/Discussion to Practice Problems  
Tutorial 44: Logarithmic
Properties



 

checkAnswer/Discussion to 1a

problem 1a


 
What is the base in this problem?

This time the base is e.  Make sure that you keep that same base throughout the problem.


 
ad1a

 
 
 

*Use the product rule

*Use the definition of logs to simplify
*1/2 is the exponent needed on e to get e^1/2


 


 

checkAnswer/Discussion to 1b

problem 1b


 
What is the base in this problem?

This time the base is 10.  Make sure that you keep that same base throughout the problem.


 
ad1b

*Use the quotient rule

*Use the definition of logs to simplify
*4 is the exponent needed on 10 to get 10000


 


 

checkAnswer/Discussion to 1c

problem 1c


 
What is the base in this problem?

This time the base is 3.  Make sure that you keep that same base throughout the problem.


 
ad1c

 

*Use the product rule and the quotient rule

*Use the power rule


 


 

checkAnswer/Discussion to 2a

problem 2a


 
What is the base in this problem?

This time the base is 10.  Make sure that you keep that same base throughout the problem.


 
ad2a

*Use the product rule

 


 

checkAnswer/Discussion to 2b

problem 2b


 
What is the base in this problem?

This time the base is e.  Make sure that you keep that same base throughout the problem.


 
ad2b
*Use the power rule

*Use the  quotient rule


 


 

checkAnswer/Discussion to 3a

problem 3a


 
Note that the calculator can only evaluate logs that are base 10 or base e.  Since this problem is in base 1.5,  we need to change the base to base e (or base 10).  Since the instructions say base e, let's do that.

 
ad3a

*Use the calculator to find ln 20 and ln 1.5
 

*Divide


 

 

Buffalo top

 


Last revised on March 23, 2011 by Kim Seward.
All contents copyright (C) 2002 - 2011, WTAMU and Kim Seward. All rights reserved.