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  1. If loga [1/36] = -2/3, find the value of a.

    2. A.
    6
    B.
    8
    C.
    9
    D.
    216

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    Answer : Option D

    Explanation :

    ATQ, loga [1/36] = -2/3

    We know that loga y = x is similar to ax = y

    So, a (-2/3) = 1/36

    Or, a (-2/3) = 1/62

    Or, a (-2/3) = 6-2

    Now, multiply and divide by 3 in the power of 6 to make the power equals to power of a.

    So, a (-2/3) = 63(-2/3)

    On comparing both side, we get a = 63

    Therefore, a = 216

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