Title

College Algebra
Tutorial 44: Logarithmic
Properties

 What is the base in this problem? This time the base is e.  Make sure that you keep that same base throughout the problem.

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

 What is the base in this problem? This time the base is 10.  Make sure that you keep that same base throughout the problem.

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

 What is the base in this problem? This time the base is 3.  Make sure that you keep that same base throughout the problem.

 *Use the product rule and the quotient rule *Use the power rule

 What is the base in this problem? This time the base is 10.  Make sure that you keep that same base throughout the problem.

 *Use the product rule

 What is the base in this problem? This time the base is e.  Make sure that you keep that same base throughout the problem.

 *Use the power rule *Use the  quotient rule

 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.

 *Use the calculator to find ln 20 and ln 1.5   *Divide

Last revised on March 23, 2011 by Kim Seward.