Alg2Trig
Name ____________________________
CHAPTER 7 EXTRA CREDIT
Show all work for full/partial credit. This packet is due April 12th (No Exceptions) 4pm. Half of
the points from this packet will go towards replacing points from the Chapter 7 test. You can
not go over 100 points on the test.
1.
Write 53 125 in logarithmic form
2..
Circle all functions that represent exponential growth?
1
f (x)
2
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x
f ( x ) 2 x
f ( x ) 2x
f ( x ) 2x
3.
State the domain of the function f ( x ) 2x 3 12
4.
Write in exponential form: 12 log7 ( x 5)
5..
State the domain of the function: f ( x ) log2 ( x 4) 3
6.
Expand the logarithm: log3 x 2 3 y
7
1
Write as a single logarithm: 2log3 3log x log y
2
8.
What is log8 15?
base 10)
9.
Solve: 5 x 40
f ( x) 2(e)3 x
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(Express using change of base to write in
10
Solve: log7 2x log7 ( x 3) 1
11.
If $22,000 is invested at an annual interest rate of 4.5% and compounded monthly, find
the balance after 2 years. Write as equation and use calculator to solve.
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12.
Find the balance if $32,000 is invested at an annual rate of 8% for 3 years, compounded
continuously. . Write as equation and use calculator to solve.
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13..
Graph the function f ( x ) 2x 1 2. State the domain and range. Show asymptote and
three distinct points.
D=
R=
14.
Simplify
16e 7
.
2e 4
15
Graph y log4 ( x 2) 3. State the domain and range. Show asymptote and
three distinct points.
D=
R=
x
The function N ( x ) 2750 180ln
1 models the relationship between the dollar
1000
amount x spent on advertising a product and the number of units N that a company can sell.
Use Calculator. Show Work.
16.
a. How many units will be sold with an advertising budget of $40,000?
b. How many units will be sold if the company does not pay to advertise the product?
17.
x2y3
Expand the logarithm: log 4
z
18.
1
Write as a single logarithm: 2log2 4 log2 9 3log2 x
2
19.
Solve for x. Give an exact answer. (No decimals) 102 x 3 315
20.
Solve for x. log(3 x 7) 1
Solve each equation in the space provided. Show all work. Circle answers.
21.
0.16
x 8
0.4
x 2 1
22. 162 x 4 43 x 6
24. log 3 x log 3 (x 6) 3
23. Solve for x: 16 2 7x 5
25.
Find the inverse of the function:
f (x) log 4 (x 3)
0
