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Logarithm Function questions with solutions

Practice Mathematical tools and vector for JEE Main, JEE Advanced, NEET, and Classes 11–12. Attempt each question, then open it for the full solution.

Showing 1–10 of 50 questions

  • MatchmediumMathematical tools and vector

    Match List 1 with List 2.

    List 1

    1. log₂√8

    2. log₃∛9

    3. log₅(1/25)

    4. log₄(1/2)

    List 2

    1. -2

    2. -1/2

    3. 2/3

    4. 3/2

    Options

    NEETJEE Mains

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  • MCQmediumMathematical tools and vector

    Evaluate (log₂3)(log₃4).

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  • MCQmediumMathematical tools and vector

    If log₃(x+1) - log₃(x-1) = 1, then x is:

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  • MCQeasyMathematical tools and vector

    For a > 0 and a ≠ 1, logₐ1 is:

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  • IntegermediumMathematical tools and vector

    Evaluate (log₂5)(log₅4).

    NEETJEE Mains

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  • MCQeasyMathematical tools and vector

    For a > 0 and a ≠ 1, logₐ(a⁵) is:

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  • IntegereasyMathematical tools and vector

    Evaluate log₂64.

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  • MCQmediumMathematical tools and vector

    If log₂x = 5, then log₄x is:

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  • MCQeasyMathematical tools and vector

    If log₂ 32 = x, then x is equal to:

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  • MatchmediumMathematical tools and vector

    Match each expression in List 1 with its value in List 2.

    List 1

    1. (log₂3)(log₃4)

    2. (log₂3)(log₃8)

    3. (log₂3)(log₃16)

    4. (log₂3)(log₃32)

    List 2

    1. 5

    2. 2

    3. 4

    4. 3

    Options

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