Exercises for Logs-I - University of...

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

Exercises for Logs-I-2

(5) log7 49 Solution

(6) log7 343 Solution

(7) log4 32 Solution

(8) log32 4 Solution

Exercises for Logs-I-3

(9) log16 1024 Solution

(10) log8 1024 Solution

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Exercises for Logs-I-4

Solutions

(1) log2 1024 =

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Exercises for Logs-I-4

Solutions

(1) log2 1024 = log2 210 =

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Exercises for Logs-I-4

Solutions

(1) log2 1024 = log2 210 = 10

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Exercises for Logs-I-5

(2) log3181

=

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Exercises for Logs-I-5

(2) log3181

= log3134=

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Exercises for Logs-I-5

(2) log3181

= log3134= log3 3

−4 =

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Exercises for Logs-I-5

(2) log3181

= log3134= log3 3

−4 = −4

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Exercises for Logs-I-6

(3) log10 100,000,000 =

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Exercises for Logs-I-6

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

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Exercises for Logs-I-6

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

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Exercises for Logs-I-7

(4) log101

1,000,000,000=

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Exercises for Logs-I-7

(4) log101

1,000,000,000= log10

1109

=

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Exercises for Logs-I-7

(4) log101

1,000,000,000= log10

1109

= log10 10−9 =

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Exercises for Logs-I-7

(4) log101

1,000,000,000= log10

1109

= log10 10−9 = −9

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Exercises for Logs-I-8

(5) log7 49 =

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Exercises for Logs-I-8

(5) log7 49 = log7 72 =

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Exercises for Logs-I-8

(5) log7 49 = log7 72 = 2

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Exercises for Logs-I-9

(6) log7 343 =

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Exercises for Logs-I-9

(6) log7 343 = log7 73 =

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Exercises for Logs-I-9

(6) log7 343 = log7 73 = 3

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Exercises for Logs-I-10

(7) log4 32 =

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Exercises for Logs-I-10

(7) log4 32 =log2 32log2 4

=

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Exercises for Logs-I-10

(7) log4 32 =log2 32log2 4

= log2 25

log2 22=

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Exercises for Logs-I-10

(7) log4 32 =log2 32log2 4

= log2 25

log2 22= 5

2

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Exercises for Logs-I-11

(8) log32 4 =

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Exercises for Logs-I-11

(8) log32 4 =log2 4log2 32

=

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Exercises for Logs-I-11

(8) log32 4 =log2 4log2 32

= log2 22

log2 25=

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Exercises for Logs-I-11

(8) log32 4 =log2 4log2 32

= log2 22

log2 25= 2

5

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Exercises for Logs-I-12

(9) log16 1024 =

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Exercises for Logs-I-12

(9) log16 1024 =log2 1024log2 16

=

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Exercises for Logs-I-12

(9) log16 1024 =log2 1024log2 16

= log2 210

log2 24=

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Exercises for Logs-I-12

(9) log16 1024 =log2 1024log2 16

= log2 210

log2 24= 10

4=

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Exercises for Logs-I-12

(9) log16 1024 =log2 1024log2 16

= log2 210

log2 24= 10

4= 5

2

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Exercises for Logs-I-13

(10) log8 1024 =

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Exercises for Logs-I-13

(10) log8 1024 =log2 1024log2 8

=

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Exercises for Logs-I-13

(10) log8 1024 =log2 1024log2 8

= log2 210

log2 23=

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Exercises for Logs-I-13

(10) log8 1024 =log2 1024log2 8

= log2 210

log2 23= 10

3