Title  College Algebra
Answer/Discussion to Practice Problems
Tutorial 44: Logarithmic
Properties Answer/Discussion to 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. *Use the product rule *Use the definition of logs to simplify *1/2 is the exponent needed on e to get e^1/2 Answer/Discussion to 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. *Use the quotient rule *Use the definition of logs to simplify *4 is the exponent needed on 10 to get 10000 Answer/Discussion to 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. *Use the product rule and the quotient rule *Use the power rule Answer/Discussion to 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. *Use the product rule Answer/Discussion to 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. *Use the power rule *Use the  quotient rule Answer/Discussion to 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. *Use the calculator to find ln 20 and ln 1.5   *Divide

Last revised on March 23, 2011 by Kim Seward.
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