Question
If log₁₀(x + 3) − log₁₀(x − 1) = 1, find the
value of x.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
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