Math 116: Chapter 4 Study Guide
- Match the exponential function with its graph. Eight parts. Look at problems 4.1.15-22
- Solve the exponential equation for x. Two parts. Look at problems 4.4.15-23
- Match the logarithmic function with its graph. Eight parts. Look at problems 4.2.47-52
- Solve the logarithmic equation for x. Two parts. Look at problems 4.4.28-36
- Match the function with its graph. Eight parts. Look at problems 4.5.1-6
- Rewrite the exponential expression in logarithmic form. Look at problems 4.2.9-18
- Rewrite the logarithmic expression in exponential form. Look at problems 4.2.1-8
- Simplify the expressions without the use of a calculator. Eleven parts. Look at problems
- Find the greatest integer of a logarithmic expression. In English, that means to give the first
digit of a logarithm. For example, the log 5.4 412 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.
- 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
- Write the expression as the logarithm of a single quantity. Three parts. Look at problems
- 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. Five parts. Look at
problems 4.4.43-56, 89-96
- No calculators allowed on the in-class portion of the exam.
- None of the problems on the test are straight from the text, but should be similar to the
problems in the text.
- There is none of section 4.5 on the in-class test.
- There is a take-home portion of the exam worth 30 points and is due the class period after the