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ExamView - Chapter 3 Review 1.tst
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ExamView - Chapter 3 Review 1.tst
Condense the expression. 1. 5 log332â 2log3x +. 1. 2 log3y. 21. Condense: 4 log x â 6 log (x + 2). 22. Use the properties of logarithms to evaluat...
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Name: ___________________________________ Period: ________________ Date: __________________
Pre-Calculus: Chapter 3 Review 3. y = log 2 (x + 1 )
Graph the function. State the domain and range. 1. f (x ) = 4 x
.
.
4. y = log 2 x − 3
2. y = log 3 x
Write the equation in logarithmic form. 5. 6 4 = 1, 296
4
6. 125 3 = 625
1
A
A
7. Write the equation log 32 8 =
16. Expand: log 3 11p 3
3 in exponential form. 5
8. Write the equation log 243 729=
6 in exponential 5
17. Expand: log b
57 74
18. Expand: log 7
9a 5b
form.
9. Evaluate without using a calculator. log 2 16
10. Evaluate without using a calculator. log 7
1 49
19. Condense the expression.
1 log 16 − 3log 5 x + 4log5 y 2 5
20. Condense the expression. 1 1 log 32 − 2log 3 x + log 3 y 5 3 2
11. Evaluate the expression. log 1/5 125
12. Evaluate ln e −4 . 21. Condense: 4 log x − 6 log (x + 2)
13. Evaluate ln
3
e −5 . 22. Use the properties of logarithms to evaluate log 3 9 + log 3 36 − log 3 4 .
14. Evaluate: log 0.01 23. Condense: 3 ln 3 + 3 lnc 15. Expand the expression. ln
2x y4 24. Condense: 3 ln a −
2
1 (ln b + ln c 2 ) 2
A 25. Solve: log 4 (x + 3 ) = −2
35. Solve ln x − ln 6 = 0 .
26. Solve: log 4 (x + 6 ) + log 4 x = 2
36. Solve: 6e 4x − 2 = 3
27. Solve: 7log 5 (x ) − 3 = 15
37. Solve: e x =
28. Solve:
1 = 644x − 3 . 16
29. Solve:
1 = 9 8x − 9 27
3 4
38. Solve: 6 4x = 63
30. Solve: log(4x + 10) = 3 .
31. Solve: 3 log 2x = 4.
32. Solve: log(x + 9) − log x = 3 .
33. Solve: ln(2x − 1) = 8.
34. Solve ln 2 + ln x = 5.
3
ID: A
Pre-Calculus: Chapter 3 Review Answer Section
1. 2.
3. Domain: x > −1; Range: all real numbers
1
ID: A 4.
5. log 6 1, 296 = 4 6. log 125 625 =
4 3
3
7. 32 5 = 8 8. 9. 10. 11. 12. 13. 14. 15. 16.
243 6/5 = 729 4 –2 −3 -4 −5 3 –2 ln2 + lnx − 4lny log 3 11 + 3 log 3 p
1 1 log b 57 − log b 74 2 2 1 1 1 1 18. log 7 9 + log 7 a − log 7 5 − log 7 b or 2 2 2 2 1 1 1 log 7 3 + log 7 a − log 7 5 − log 7 b 2 2 2 17.
19. log 5 20. log 3
4y 4 x3 2
y
x2 21. none of these 22. 4 23. ln 27c 3
2
ID: A
24. ln 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38.
a3
c b 47 − 16 2 62.712 7 12 15 16 495 2 10.7722 0.0090 1,490.979 74.2 6 –0.046 –0.288 0.58
3
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