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    Question

    Solve log₂(x–1) + log₂(x+3) =

    3.
    A –9 + 2√2 Correct Answer Incorrect Answer
    B 3 + 2√3 Correct Answer Incorrect Answer
    C 5 + 2√3 Correct Answer Incorrect Answer
    D –1 + 2√3 Correct Answer Incorrect Answer

    Solution

    ATQ,

    (x–1)(x+3) = 8 x² + 2x –11 = 0 x = –1 ± 2√3 Only x >1 allowed → x = –1 + 2√3

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