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Discussion :: Logarithm

  1. If (log3 x)(logx 2x)(log2x y) = logx x2, find y.

    2. A.
    6
    B.
    9
    C.
    5
    D.
    7

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    Answer : Option A

    Explanation :

    (log3 x)(logx 2x)(log2x y) = logx x2
    We know that logb a =
    Now, A =

    B =

    C =

    Now, ATQ, A* B * C = logx x2
    Or, ** =

    We know that, loga mn = n loga m
    =

    We know that loga a = 1
    That means, log3 y = 2
    We know thatloga y = x is similar to ax = y
    Therefore, y = 32 = 9

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