Exercises for Logs-I-1
Exercises for Logs-I
Simplify:
(1)
log2 1024
(2)
log3
(3)
log10 100, 000, 000
(4)
log10
1
81
1
1, 000, 000, 000
Solution
Solution
Solution
Solution
Exercises for Logs-I-2
(5)
log7 49
(6)
log7 343
(7)
log4 32
Solution
(8)
log32 4
Solution
Solution
Solution
Exercises for Logs-I-3
(9)
log16 1024
(10)
log8 1024
Solution
Solution
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)
log3
1
=
81
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Exercises for Logs-I-5
(2)
log3
1
1
= log3 4 =
81
3
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Exercises for Logs-I-5
(2)
log3
1
1
= log3 4 = log3 3−4 =
81
3
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Exercises for Logs-I-5
(2)
log3
1
1
= log3 4 = log3 3−4 = −4
81
3
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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)
log10
1
=
1, 000, 000, 000
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Exercises for Logs-I-7
(4)
log10
1
1
= log10
=
1, 000, 000, 000
109
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Exercises for Logs-I-7
(4)
log10
1
1
= log10
= log10 10−9 =
1, 000, 000, 000
109
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Exercises for Logs-I-7
(4)
log10
1
1
= log10
= log10 10−9 = −9
1, 000, 000, 000
109
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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 32
=
log2 4
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Exercises for Logs-I-10
(7)
log4 32 =
log2 25
log2 32
=
=
log2 4
log2 22
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Exercises for Logs-I-10
(7)
log4 32 =
log2 25
5
log2 32
=
=
2
log2 4
log2 2
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 4
=
log2 32
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Exercises for Logs-I-11
(8)
log32 4 =
log2 22
log2 4
=
=
log2 32
log2 25
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Exercises for Logs-I-11
(8)
log32 4 =
log2 22
2
log2 4
=
=
5
log2 32
log2 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 1024
=
log2 16
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Exercises for Logs-I-12
(9)
log16 1024 =
log2 210
log2 1024
=
=
log2 16
log2 24
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Exercises for Logs-I-12
(9)
log16 1024 =
log2 210
log2 1024
10
=
=
=
4
log2 16
log2 2
4
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Exercises for Logs-I-12
(9)
log16 1024 =
log2 210
5
log2 1024
10
=
=
=
4
log2 16
log2 2
4
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 1024
=
log2 8
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Exercises for Logs-I-13
(10)
log8 1024 =
log2 210
log2 1024
=
=
log2 8
log2 23
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Exercises for Logs-I-13
(10)
log8 1024 =
log2 210
10
log2 1024
=
=
3
log2 8
log2 2
3
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