### MATH 100 Quiz 6

Name:
You may use a calculator on this quiz. You may not use a cell phone or computer. To receive full credit please show your work carefully and give justifications for your answers. If you find that you are spending a lot of time on one problem, leave it blank and move on to the next. There are questions on both sides of this paper.
1. (3.1#6) Suppose you have \$1000 and plan to invest it at an interest rate of 4% for 5 years.
a) (5 pts) What will your account balance be after 5 years if the interest is compounded anually? (A = P(1+r)t.)

b) (5 pts) What will your account balance be after 5 years if the interest is compounded continuously? (A = Pert.)

2. (3.1#7) On the grids provided below, sketch the graphs of:
a) (10 pts) f(x) = 3x
b) (10 pts) g(x) = log3x

1. (3.2#1: 15 pts) Give the equivalent exponential form of the equation 2 = log416

2. (3.2#4: 15 pts) Evaluate log 981.

3. (3.3#2,5) Expand the expressions below and simplify them as far as is possible without use of a calculator.
a) (10 pts) log7( 7/y)

b) (15 pts) logb(y7z)

4. (3.3#9: 15 pts) Condense the expression into a single logarithm whose coefficient is 1:
3ln(x+9) - ln(x).

Bonus (5 points) Use the change of base formula to describe how you could graph f(x) = log8(x) on your calculator.