Section 8.1 & 8.2





Determine Growth or Decay and asymptote line without graphing
Graph by completing a table and state the domain and range
Real world problems involving growth and decay
Interest FORMULAS and when to use
Evaluate e
Section 8.3



Switch back and forth from exponential form and logarithmic form
Mentally evaluate a log
Find the value of the variable in a logarithmic equation
Section 8.4


Expand and condense logarithmic and natural log equations using properties of logs
Evaluate using properties of logs
Section 8.5/8.6


Solve logarithmic equations
Solve exponential equations
Study




Portfolio page
READ NOTESHEETS
Study worksheets (especially the review worksheets)
Practice problems – redo homework problems
Given the following equation complete the following and graph.
1. f(x) = 3(0.25)x
a) Growth/decay? ___________
b) Asymptote equation: __________
x
2. f(x) = ½(4)x+1 – 5
a) Growth/decay?_________
b) Asymptote equation: _________
y
x
y
3. You buy a car for $12,500 in 2015. The car depreciates 9% each year.
a. Write an equation to model the depreciation of the car.
b. Suppose this rate of depreciation continues. Predict the value of the car in 2022.
4. Radium has a half-life of 1620 years.
a. Write the decay function for a 3-mg sample.
b. Find the amount of radium remaining after 50 years to the nearest tenth.
5. Suppose you put $1000 in an account earning 5.5% interest compounded monthly. How much will you have in the
account after 4 years?
Use the properties of logarithms to expand the following.
6. log x2√𝑦
7. ln
(5𝑦)2
3
Use the properties of logarithms to write the following as a single logarithm (condense).
8. log 7 + 4 log x – log z
9. ½ log 25 – 5 log x – 2 log y
Use the properties of logarithms to evaluate each expression.
1
10. log2 4 – log2 16
11. – log9 – 3 log9 3
3
12. 3 log2 2 – log2 4
13. 2 log 5 + 2 log 20
Solve the following logarithmic equations, round to the nearest thousandth if necessary.
14. log 4x = 3
15. 2 ln 2 + 2 ln x = 40
16. log (2x – 1) = 4
Solve the following exponential equations, round to the nearest thousandth if necessary.
17. 5x + 7 = 100
18. 32x = 4
19. 3x-1 = 24
20. A culture of 10 bacteria is started, and the number of bacteria will double every hour. In about how many
hours will there be 3,000,000 bacteria? Round to the nearest tenth.