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    Subject

    Quantitative Aptitude

    Topic

    Power & Logarithm

    If log105 + log10(5x + 1) = log10(x + 5) + 1, then x is equal to:

    ক)
    1
    খ)
    3
    গ)
    5
    ঘ)
    10

    Explanation

    ⇒ log 10 5 + log 10 (5x+1) = log 10 (x+5) + 1 ⇒ log 10 5 + log 10 (5x+1) = log 10 (x+5) + log 10 10 ⇒ log 10 [5(5x+1)] = log 10 [10(x+5)] ⇒ 5(5x+1) = 10(x+5) ⇒ 5x+1 = 2x+10 ⇒ 3x = 9 ⇒ x = 3

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