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Discussion :: Logarithm

  1. If log10 5 + log10 (5x + 1) = log10 (x + 5) + 1, then x is equal to:

  2. A.

    1

    B.

    3

    C.

    5

    D.

    10

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    Answer : Option B

    Explanation :

    log10 5 + log10 (5x + 1) = log10 (x + 5) + 1

     log10 5 + log10 (5x + 1) = log10 (x + 5) + log10 10

     log10 [5 (5x + 1)] = log10 [10(x + 5)]

     5(5x + 1) = 10(x + 5)

     5x + 1 = 2x + 10

     3x = 9

     x = 3.


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