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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

  • IntegermediumMathematical tools and vector

    If log₃x + log₃(x-2) = log₃15, find x.

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  • MCQeasyMathematical tools and vector

    Evaluate log₃(1/27).

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  • MCQmediumMathematical tools and vector

    If logₐ2 = p and logₐ3 = q, then logₐ72 is:

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  • IntegermediumMathematical tools and vector

    If log₃x = 4 and log₉y = 2, find log₃(x/y).

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  • IntegermediumMathematical tools and vector

    If log₂(log₃x) = 3 and x = 3ⁿ, find n.

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  • MCQmediumMathematical tools and vector

    If log₃x = 4, then log₉x is:

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  • MCQmediumMathematical tools and vector

    If logₐx = m/n, then x is:

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  • MCQmediumMathematical tools and vector

    If log₂x = 5, then log₄x is:

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  • MCQeasyMathematical tools and vector

    If logₐM = p and logₐN = q, then logₐ(M/N) is:

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  • MatchmediumMathematical tools and vector

    Match List 1 with List 2.

    List 1

    1. log₄8

    2. log₈4

    3. log₂(1/8)

    4. log₁₆2

    List 2

    1. -3

    2. 1/4

    3. 3/2

    4. 2/3

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