# Chapter Review Jeopardy

Document Sample

```					1
Switching                                                Growth and
Solving Log   Properties of   Solving Exp
From Exp and                                                 Decay
Equations     Logarithms      Equations
Log Forms                                                 Problems

100           100            100            100           100

200           200            200            200           200

300           300            300            300           300

400           400            400            400           400

500           500            500            500           500
2
Switching From Exp and Log Forms
100
• Switch 2x = 16 to log form.

3
Switching From Exp and Log Forms
200
• Switch 100 = 10x to log form.

4
Switching From Exp and Log Forms
300
• Switch log525 = x to exponential form and solve
for x.

5
Switching From Exp and Log Forms
400

• Switch log 100000 = x to exponential form
and solve for x.

6
Switching From Exp and Log Forms
500
• Combine log280 – log25 = x into one logarithm,
then switch to exponential form to solve.

7
Solving Log Equations
100
• Solve the logarithmic equation
log5 (x  4)  log5 (2x  8)

8
Solving Log Equations
200
• Solve the logarithmic equation
log5125 – log55 = x

9
Solving Log Equations
300
• Solve the logarithmic equation   log 6 (2 x  1)  2

10
Solving Log Equations
400
• Solve the logarithmic inequality log 3 (x  2)  4 .
Write your solution in interval notation.
(Hint: Don’t forget that you can only take the log of a
positive number.)

11
Solving Log Equations
500
• Solve the logarithmic inequality log (x 1)2  6 .
5
Write your solution in interval notation.

12
Properties of Logarithms
100
11
• Simplify the expression log 3 3

13
Properties of Logarithms
200
• Simplify the expression   log5 7
5

14
Properties of Logarithms
300
• Evaluate the following using a calculator
and the change of base formula. Round to
three decimal places.
1. log46

2. log917

15
Properties of Logarithms
400
• Express the following as a single logarithm
and simplify, if possible.
1.log1025 + log104

2.log6360 – log610

16
Properties of Logarithms
500
• A log table says that log 2 = 0.3010300
and log 9 = 0.9542425. Describe how to
find log 18 and log29 and compute both.

17
Solving Exponential Equations
100
• Solve the exponential equation

10   9 x
 100   x2

18
Solving Exponential Equations
200
• Solve the exponential equation
3x  4        x 1
4            8

19
Solving Exponential Equations
300
• Solve the exponential equation. Round to three
decimal places.

5   3x1
 10

20
Solving Exponential Equations
400
• Solve the exponential inequality. Write your
solution in interval notation.

4   x 3
 16

21
Solving Exponential Equations
500
• Solve the exponential equation. Round to three
decimal places.
x 1
5   x1
3

22
Growth and Decay Problems
100
• Use the decay equation A(t) = P(1 – r)t to
solve the problem.
A city population, which was initially 40,000
has been dropping at a rate of 2% per year.
Approximate what the population will be in
20 years.

23
Growth and Decay Problems
200
• Use the growth equation A(t) = P(1 + r)t to
solve the problem.
Ann invests \$1000 in an account that pays
6.25% interest each year. How long will it
take for Ann to have \$1800?

24
Growth and Decay Problems
300
• Brooke invests \$1500 in an account that
has an annual interest rate of 3%,
compounded monthly. Use the equation
nt
 r
A(t )  P 1  
 n
to find how much money Brooke has after
10 years.

25
Growth and Decay Problems
400
• Clay invests \$2000 in an account that
earns 4.5% interest per year, compounded
continuously. Use A(t) = Pert to estimate
how long it will take for his account to
reach \$2500.

26
Growth and Decay Problems
500
• A paleontologist uncovers a fossil of a saber-
toothed tiger in California. He analyzes the fossil
and concludes that the specimen contains 13% of
its original carbon-14. Carbon-14 has a half-life of
5730 years. Use carbon-14 dating to determine the
age of the fossil.

27

```
DOCUMENT INFO
Shared By:
Categories:
Tags:
Stats:
 views: 6 posted: 9/14/2012 language: English pages: 27
How are you planning on using Docstoc?