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math asked in Science & MathematicsMathematics · 5 years ago

Using laws of log. How come 1/4 log3 81 equal 1?

4 Answers

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  • DWRead
    Lv 7
    5 years ago
    Favorite Answer

    Some logarithm rules:

    n·log(x) = log(xⁿ)

    logₐ(aⁿ) = n

    ¼log₃(81) = log₃(81^¼)

    = log₃(∜81)

    = log₃(3)

    = 1

  • Amogh
    5 years ago

    its simple

    3^4=81

    therefore log3 81=4 by the law

    so 1/4 * 4 =1 as log3 81 is 4

    Source(s): i am persuing iit jee course
  • Como
    Lv 7
    5 years ago

    Let log be log to base 3

    (1/4) log 81 = (1/4) (4) = 1

  • cidyah
    Lv 7
    5 years ago

    81 = 3^4

    1/4 log3 81 = (1/4) log3 (3^4)

    = (1/4) (4) log3 3

    = (1/4)(4) (1)

    = 1

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