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Logarithms
10 Class 9 Mathematics questions with answers and explanations.
Printable worksheet with answer key
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What is log to base 10 of 1000?
- 1 10
- 2 2
- 3 4
- 4 3
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What is log to base 2 of 32?
- 1 4
- 2 6
- 3 16
- 4 5
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log(a x b) is equal to:
- 1 log a / log b
- 2 log a - log b
- 3 log a x log b
- 4 log a + log b
Show answer
Correct answer: log a + log b
The product rule: the log of a product is the sum of the logs.
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log(a / b) is equal to:
- 1 log a / log b
- 2 log a x log b
- 3 log a + log b
- 4 log a - log b
Show answer
Correct answer: log a - log b
The quotient rule: the log of a quotient is the difference of the logs.
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What is the value of log 1, for any base?
- 1 10
- 2 Undefined
- 3 0
- 4 1
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Express 4³ = 64 in logarithmic form.
- 1 log 3 to base 4 = 64
- 2 log 4 to base 3 = 64
- 3 log 64 to base 4 = 3
- 4 log 64 to base 3 = 4
Show answer
Correct answer: log 64 to base 4 = 3
a^x = N means log of N to base a is x. So log 64 to base 4 = 3.
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What is log to base 5 of 25?
- 1 1/2
- 2 2
- 3 5
- 4 25
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log(a^n) equals:
- 1 log a + n
- 2 (log a)^n
- 3 n log a
- 4 log a / n
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What is log to base 10 of 0.1?
- 1 0
- 2 -1
- 3 -10
- 4 1
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If log x = 2 (base 10), then x is:
- 1 20
- 2 2
- 3 100
- 4 1000