Math 116 - Chapter 4 Study Guide

No Graphing Calculators are allowed on this exam.

  1. Solve the exponential equation for x. Two parts. Look at problems 4.4.15-23
  2. Solve the logarithmic equation for x. Two parts. Look at problems 4.4.28-36
  3. Rewrite the exponential expression in logarithmic form. Look at problems 4.2.9-18
  4. Rewrite the logarithmic expression in exponential form. Look at problems 4.2.1-8
  5. Match the exponential function with its graph. Eight parts. Look at problems 4.1.15-22
  6. Match the logarithmic function with its graph. Eight parts. Look at problems 4.2.47-52
  7. Write the expression as a sum, difference, and/or constant multiple of logarithms and simplify (if possible). Three parts. Look at problems 4.3.27-46
  8. Match the function with its graph. Twelve parts. Look at problems 4.5.1-6
  9. Simplify the expressions without the use of a calculator. Thirteen parts. Look at problems 4.3.73-86, 4.4.37-42
  10. Find the greatest integer of a logarithmic expression. In English, that means to give the first digit of a logarithm. For example, the log5.4 412 is somewhere between 3 and 4 because 5.43<412<5.44. The greatest integer of any value between 3 and 4 is 3, so the answer is 3. The greatest integer function is symbolized using the double bracket. See page 111 for a discussion of the greatest integer function.
  11. Write the expression as the logarithm of a single quantity. Three parts. Look at problems 4.3.49-68
  12. Solve the equations. Give an exact answer. The problems have been designed so the answers can be found without a calculator. Pay attention to domain. Two parts. Look at problems 4.4.43-56
  13. Solve the equations. Give an exact answer. The problems have been designed so the answers can be found without a calculator. Pay attention to domain. Three parts. Look at problems 4.4.89-96
  14. Make a sign chart (like we did in chapter 3) to find the domain of a logarithmic function. Remember that a logarithm is only defined when its argument is positive (it cannot be zero or negative).
  15. Rewrite a logarithm using the change of base formula. Do not simplify, just rewrite.

Notes:

Points per problem

# 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Total
Pts 4 4 2 2 4 4 6 6 2 14 6 6 6 2 2 70

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Last updated: January 22, 2003 2:18 PM