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4. log 0.996=

a. 0.998
b. 8.998-10
c. 9.998-10

d. 9.98
e. None of the above

5. log 1.535=

a. 0.1425
b. 0.814
c. 1.425

d. 1.86
e. None of the above

6. The logarithm of 45.14 to the base e is

е a. 0.719.

d. 3.82. b. 1.654.

e. none of the above. c. 1.955.

7. The logarithm of 0.00141 to the base e is a. 7.149–10.

d. -6.57. b. -2.851.

e. none of the above. c. 6.57.

8. log, 1.225=

a. 0.088 b. 0.203 c. 0.387

d. 2.03
e. None of the above.

9. Which of the following numbers has 4.571 for its logarithm to the

base 10? a. 0.660

d. 28,700 b. 3,720

e. None of the above c. 26,900

10. Which of the following numbers has 9.070—10 for its logarithm

to the base 10? a. 0.01175

d. 0.846 b. 0.1175

e. None of the above c. 0.501

11. Which of the following numbers has 7.714 for its logarithm to

the base e? a. 2,240

d. 51,800,000 b. 5,250

e. None of the above c. 21,600 12. Which of the following numbers has – 4.93 for its logarithm to 13. Find the result of (909X 7.18), using logarithms. a. 16,100

the base e? a. 0.000725

d. 0.00725 b. 0.000852

e. None of the above c. 0.00138

d. 88,400,000 b. 115,000

e. None of the above c. 42,700,000 14. Find the result of 1,575-81.4, using logarithms. a. 1.93

d. 128,200 b. 19.3

e. None of the above C. 46.8

854 X 0.0721 15. Find the result of

using logarithms.

3.92
a. 1.196
b. 15.7

e. None of the above
c. 241

d. 3,020

[blocks in formation]

1. Using examples in your text as a guide, explain how you would

find the logarithm of 10,970 to the base 10. 2. Using examples in your text as a guide, explain how you would

find the logarithm of 0.00419 to the base e.

3. Find the logarithm of each of the following numbers to the base 10: a. 27,450

d. 0.0000321 b. 3.131

e. 947,000,000 C. 0.417

4. Find the logarithm of each of the following numbers to the base e: a. 100

d. 0.00309 b. 1.575

e. 61,800 C. 0.728

(Continued on next page)

5. Find the numbers which have the following logarithms to the

base 10: a. 1.042

d. 0.953 b. 8.705-10

e. 9.114-10 c. 5.195

6. Find the numbers which have the following logarithms to the

base e:
a. 3.715

d. 2.3026 b. 0.0142

e. - 6.138 c. -0.0142

7. Solve the problem below by means of logarithms. In other words,

look up the logarithm of each number, add and subtract the logarithms as necessary, and finally find the antilog. Show all your steps.

356 X 297
0.0037

8. Solve the problem below by means of logarithms. Determine the

logarithms of each number, perform the necessary operations, and finally find the antilog. Show all your steps.

(1,075X 1.517)

Answers to Review Problems

Answers to many of the Review Problems in your textbook are given below. The page numbers refer to the pages in your textbook where these problems are found.

Pages 65–66

1. The slide rule is adjusted so that one index of the C scale coincides with the multiplicand which is located on the D scale.

2. The answer in a multiplication problem is read on the D scale under the hairline of the runner.

3. 7.85 4. 49 5. The multiplier is located on the C scale under the hairline of the runner. 6. 87,300

31. 38,600 units 7. 583,000

32. 462 specimens 8. 99.8

33. $5.18 9. 1.52

34. 2.46 in. 10. 100.6

35. 89.9 in. 11. 100.1

Pages 85–87 12. 100.1 13. 1,621,000

1. 2.43 ft. 14. 0.197

2. 0.416 15. 0.1675

3. 40.2 m.p.h. 16. 39.5

4. 2.46 in. 17. 2.61

5. 0.1875 in. 18. 1,391

6. D scale 19. 97,200

7. 1.71 bricks per min. 20. 5.21

8. 6.28 acres 21. 32.3 m.p.h.

9. 0.0234; 0.0547; 0.086; 0.1485; 22. 12,420 bags

0.266; 0.492; 0.822 23. 17.3; 24.9; 280; 359; 484; 6.79; 732 10. 24.2% 24. 20.8; 30,500; 3,220; 3.90; 4.16;

1 11. 768

or 0.0013 572,000 (all in lb.) 25. $0.02; $0.23; $2.80; $0.31; $0.08;

12. 18,100 $0.12; $0.14; $0.16

13. $0.34 per lb. 26. multiplier

14. C scale 27. See pages 52-53.

15. 154 ft. 28. 3,480 strokes

16. 71.9 min. or 1 hr. 11.9 min. 29. 217 lb.

11

17. or 0.1265 30. 336 lb.

87

90

Answers to Review Problems

18. $0.179 per gal. 19. 4.85; 7.44; 12.04; 25.82; 3.48 20. 14.8 ft. 21. 0.000667 22. 28,900,000 23. 0.0947 24. 1.127 25. 0.995 26. 714 27. 1,490 28. 12.98 29. 0.246 30. 51.3

14. 42.6 ft. 15. 761,000 gal. 16. 147,000 17. 44.1 18. 163.5 19. 0.00572 20. 4,460 21. 3,890,000 22. 55 23. 0.0000139 24. 0.0611 25. 10,400

Page 107

1. 1.058 2. 0.115 3. 0.00003145 4. 11 5. 628,000 6. 1.275 7. 0.238 8. 50,400 9. 0.000197 10. 124.2 11. 7.08 12. 0.403 13. 0.22 14. 483 15. 2.24

Pages 174-175 1. 0.800 2. 0.893 3. 9.23 in. 4. 6.47 in. 5. 57°25' 6. 17° 7. 9.86 in. 8. sine, right half B, right index A 9. 0.662 10. 163.7 ft. 11–20. No answers are required. 21. 0.00597 22. 0.0308 23. 0.00698 24. 0.993 25. 0.983 26. 0.00873 27. 0.998 28. 0.999 29. 0.00156 30. 0.673 31. 11'45" 32. 76°10' 33. 29°10' 34. 10°40' 35. 39°15' 36. 0.995 37. 0.0808 38. 0.427 39. 0.759 40. 0.578

Pages 121-123

1. 10.82 in. 2. 7.18 3. 4.36 in. 4. 3.97 5. D scale 6. 26.4 cu. in. 7. 0.1287 cu. in. 8. A scale 9. 22.9 ft. 10. 29.18 lb. 11. 10,910 sq. ft. 12. 0.1288 in. 13. 16.05

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