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Discussion :: Logarithm

  1. If Apti Logarithmlog (11 + 4√7) = log (2 + x), what is the value of x?

    2. A.
    √7
    B.
    11
    C.
    4
    D.
    2

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    Answer : Option A

    Explanation :

    We have log (11 + 4√7) = log (2 + x)

    Now, we can write it as log (7 + 4 + 4√7) = log (2 + x)

    We know that (a+b) 2 = a2 + b2 + 2ab

    Similarly, log (2 + √7) 2 = log(2 + x)

    Or, log (2 +√7) = log (2 + x)

    Both side Log will be canceled out

    Now, 2 + √7 = 2 + x

    Therefore, x = 2 + √7 - 2 = √7

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