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)