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Exercises for Logs-I-1 Exercises for Logs-I Simplify: (1) log 2 1024 Solution (2) log 3 1 81 Solution (3) log 10 100, 000, 000 Solution (4) log 10 1 1, 000, 000, 000 Solution

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Page 1: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

Exercises for Logs-I-1

Exercises for Logs-ISimplify:

(1) log2 1024 Solution

(2) log3181

Solution

(3) log10 100,000,000 Solution

(4) log101

1,000,000,000Solution

Page 2: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

Exercises for Logs-I-2

(5) log7 49 Solution

(6) log7 343 Solution

(7) log4 32 Solution

(8) log32 4 Solution

Page 3: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

Exercises for Logs-I-3

(9) log16 1024 Solution

(10) log8 1024 Solution

Page 4: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-4

Solutions

(1) log2 1024 =

Page 5: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-4

Solutions

(1) log2 1024 = log2 210 =

Page 6: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-4

Solutions

(1) log2 1024 = log2 210 = 10

Page 7: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-5

(2) log3181

=

Page 8: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-5

(2) log3181

= log3134=

Page 9: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-5

(2) log3181

= log3134= log3 3

−4 =

Page 10: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-5

(2) log3181

= log3134= log3 3

−4 = −4

Page 11: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-6

(3) log10 100,000,000 =

Page 12: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-6

(3) log10 100,000,000 = log10 108 =

Page 13: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-6

(3) log10 100,000,000 = log10 108 = 8

Page 14: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-7

(4) log101

1,000,000,000=

Page 15: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-7

(4) log101

1,000,000,000= log10

1109

=

Page 16: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-7

(4) log101

1,000,000,000= log10

1109

= log10 10−9 =

Page 17: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-7

(4) log101

1,000,000,000= log10

1109

= log10 10−9 = −9

Page 18: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-8

(5) log7 49 =

Page 19: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-8

(5) log7 49 = log7 72 =

Page 20: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-8

(5) log7 49 = log7 72 = 2

Page 21: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-9

(6) log7 343 =

Page 22: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-9

(6) log7 343 = log7 73 =

Page 23: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-9

(6) log7 343 = log7 73 = 3

Page 24: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-10

(7) log4 32 =

Page 25: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-10

(7) log4 32 =log2 32log2 4

=

Page 26: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-10

(7) log4 32 =log2 32log2 4

= log2 25

log2 22=

Page 27: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-10

(7) log4 32 =log2 32log2 4

= log2 25

log2 22= 5

2

Page 28: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-11

(8) log32 4 =

Page 29: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-11

(8) log32 4 =log2 4log2 32

=

Page 30: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-11

(8) log32 4 =log2 4log2 32

= log2 22

log2 25=

Page 31: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-11

(8) log32 4 =log2 4log2 32

= log2 22

log2 25= 2

5

Page 32: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-12

(9) log16 1024 =

Page 33: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-12

(9) log16 1024 =log2 1024log2 16

=

Page 34: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-12

(9) log16 1024 =log2 1024log2 16

= log2 210

log2 24=

Page 35: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-12

(9) log16 1024 =log2 1024log2 16

= log2 210

log2 24= 10

4=

Page 36: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-12

(9) log16 1024 =log2 1024log2 16

= log2 210

log2 24= 10

4= 5

2

Page 37: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-13

(10) log8 1024 =

Page 38: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-13

(10) log8 1024 =log2 1024log2 8

=

Page 39: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-13

(10) log8 1024 =log2 1024log2 8

= log2 210

log2 23=

Page 40: Exercises for Logs-I - University of Saskatchewanmath.usask.ca/~maclean/101/Logs/Exercises/PDFLog...ExercisesforLogs-I-1 Exercises for Logs-I Simplify: (1) log21024 Solution (2) log3

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Exercises for Logs-I-13

(10) log8 1024 =log2 1024log2 8

= log2 210

log2 23= 10

3