Module 6: Exponents and Logarithms

 

 

In Try This 2 you used the laws of logarithms to simplify logarithms of numbers. Could the laws of logarithms be applied to logarithmic expressions with variables?

 

Try This 3
  1.  
    1. Use the laws of logarithms to expand the expression  , and write it in terms of individual logarithms.
    2. Explain the process used and the laws of logarithms you used.
  2.  
    1. Write the expression   as a single logarithm.
    2. Explain the process used and the laws of logarithms you used.
    3. State any restriction on the variable.
  3. How are the processes used in questions 1 and 2 similar or different?

course folder Save your responses in your course folder.

In Lesson 3 you learned that the logarithm of zero or of a negative number does not produce a real number.