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

    Question

    If log₁₀(x + 3) − log₁₀(x − 1) = 1, find the

    value of x.
    A 13/9 Correct Answer Incorrect Answer
    B 11/5 Correct Answer Incorrect Answer
    C 17/11 Correct Answer Incorrect Answer
    D 19/5 Correct Answer Incorrect Answer

    Solution

    ATQ,

    log₁₀((x + 3)/(x − 1)) = 1 ⇒ (x + 3)/(x − 1) = 10¹ = 10 ⇒ x + 3 = 10(x − 1) ⇒ x + 3 = 10x − 10 ⇒ 13 = 9x ⇒ x = 13/9 Check: x − 1 > 0 ⇒ x > 1 13/9 ≈ 1.44 > 1 ✔ valid Answer: x = 13/9

    Practice Next
    More Fractions Questions
    ask-question