Given that log10 2, log10(2x - 1), and log10(2x + 3) are in AP: 2 * log10(2x - 1) = log10 2 + log10(2x + 3) log10(2x - 1)^2 = log10(2 * (2x + 3)) (2x - 1)^2 = 2 * (2x + 3) 4x^2 - 4x + 1 = 4x + 6 4x^2 - 8x - 5 = 0 (2x + 1)(2x - 5) = 0 2x = 5 or 2x = -1 ( rejected since 2x > 0 for log(2x-1) and log(2x+3) to be defined) 2x = 5 x = log2 5
If log10 2, log10(2x - 1), and log10(2x + 3) are three consecutive terms of an arithmetic progression, which of the following is true?
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This question is part of 📏 Arithmetic Aptitude within the broader 🧠 Aptitude Mastery subject and appears in the ASF Airports Security Force preparation collection. Reviewing the answer together with nearby questions helps reinforce the underlying concept and identify how it may appear in competitive exams.