📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    Question

    If log₁₀(x² − 1) = log₁₀(4x − 3), find

    x.
    A 3 ± √3 Correct Answer Incorrect Answer
    B 2 ± √2 Correct Answer Incorrect Answer
    C 4 ± √11 Correct Answer Incorrect Answer
    D 2 ± √7 Correct Answer Incorrect Answer

    Solution

    ATQ,

    x² − 1 = 4x − 3 → x² − 4x + 2 = 0 x = [4 ± √(16 − 8)]/2 = [4 ± √8]/2 = 2 ± √2 Domain: x > 1 ⇒ both valid.

    Practice Next
    More Quant Miscellaneous Questions
    ask-question