a. 
b. 
c. 
d. 
An MS Word version of this document...
1. (5 pts) Approximate each of the following using a calculator. Express your answer rounded to three decimal places.
a.
b.
c.
d.
2. (5
pts) Beginning with the graph of 
, use transformations to graph 
.
3. Solve each equation.
a. (5
pts) 
b. (5
pts) 
4. (5
pts) Find the domain of 
.
5. (10
pts) Suppose 
Use properties of
logarithms to write 
in terms of a and b.
6. This is a 3-part problem:
a. (5
pts) Use factoring to write 
in lowest terms.
b. (5
pts) Write 
as a sum and/or difference
of logarithms. Express powers as
factors.
c. (5
pts) Write 
as a single
logarithm. For full credit, simplify as
much as possible.
7. (5
pts) Use the change-of-base formula and
a calculator to evaluate 
.
8. Solve each of the following equations for x. Be sure to check that your answer is in the domain of the original equation.
a. (5
pts) 
b. (5
pts) 
(Hint: Use your answer to part a.)
c. (5 bonus pts) 
.
(Do NOT use a calculator. Leave your
answer in terms of 
.)
9. (5
pts) Solve 
. (Hint: This equation is quadratic in 
.)
10. (5
pts) Answer one of the following
word problems:
a. A culture of bacteria obeys the law of uninhibited growth. If 500 bacteria are present initially, and there are 800 bacteria after 3 hours, how many will be present in the culture after 5 hours?
b. The half-life of Carbon-14 is about 5600 years. A piece of charcoal from an ancient fire pit contains 35% of the carbon-14 as is found in living plants of today. How old is the fire pit? (You may (must) assume that plants of yesteryear have about the same amount of radioactive C-14 in them as they do today.)
11. A clever
student will anticipate a question or two on the logistic model and