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Logarithms

6 Class 9 Mathematics questions with answers and explanations.

Printable worksheet with answer key

All questions with answers
  1. What is log to base 10 of 1000?

    • 1 10
    • 2 2
    • 3 4
    • 4 3
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    Correct answer: 3

    10^3 = 1000, so the logarithm is 3.

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  2. What is log to base 2 of 32?

    • 1 4
    • 2 6
    • 3 16
    • 4 5
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    Correct answer: 5

    2^5 = 32.

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  3. 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
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    Correct answer: log a + log b

    The product rule: the log of a product is the sum of the logs.

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  4. 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
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    Correct answer: log a - log b

    The quotient rule: the log of a quotient is the difference of the logs.

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  5. What is the value of log 1, for any base?

    • 1 10
    • 2 Undefined
    • 3 0
    • 4 1
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    Correct answer: 0

    Any base raised to the power 0 gives 1.

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  6. Express 4^3 = 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
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    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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