College Algebra Tutorial 44


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


WTAMU > Virtual Math Lab > College Algebra > 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
 

(return to problem 1a)


 

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
 

(return to problem 1b)


 

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
 

(return to problem 1c)


 

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

 
(return to problem 2a)


 

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
 

(return to problem 2b)


 

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 change of base formula

*Use the calculator to find ln 20 and ln 1.5
 

*Divide
 

(return to problem 3a)

 

Buffalo top

 

WTAMU > Virtual Math Lab > College Algebra > Tutorial 44: Logarithmic Properties


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