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Logarithms

Class 9 · Mathematics · 6 questions

Name: ____________________   Date: ____________

  1. What is log to base 10 of 1000?

    • A 10
    • B 2
    • C 4
    • D 3

  2. What is log to base 2 of 32?

    • A 4
    • B 6
    • C 16
    • D 5

  3. log(a x b) is equal to:

    • A log a / log b
    • B log a - log b
    • C log a x log b
    • D log a + log b

  4. log(a / b) is equal to:

    • A log a / log b
    • B log a x log b
    • C log a + log b
    • D log a - log b

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

    • A 10
    • B Undefined
    • C 0
    • D 1

  6. Express 4^3 = 64 in logarithmic form.

    • A log 3 to base 4 = 64
    • B log 4 to base 3 = 64
    • C log 64 to base 4 = 3
    • D log 64 to base 3 = 4

Answer key

1. D, 2. D, 3. D, 4. D, 5. C, 6. C

  1. 10^3 = 1000, so the logarithm is 3.

  2. 2^5 = 32.

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

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

  5. Any base raised to the power 0 gives 1.

  6. a^x = N means log of N to base a is x. So log 64 to base 4 = 3.