log₁₀ 5 + log₁₀ (5x + 1) = log₁₀ ( x + 5 ) + 1 ⇒ log₁₀ 5 + log₁₀ (5x + 1) = log₁₀ (x + 5) + log₁₀ 10 ⇒ log₁₀ [5 (5x + 1)] = log₁₀ [10(x + 5)] ⇒ 5(5x + 1) = 10(x + 5) ⇒ 5x + 1 = 2x + 10 ⇒ 3x = 9 ⇒ x = 3.
If log₁₀ 5 + log₁₀ (5x + 1) = log₁₀ (x + 5) + 1, then x is equal to:
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Question context
This question is part of 📏 Arithmetic Aptitude within the broader 🧠 Aptitude Mastery subject and appears in the DemoPaper-Pakistan preparation collection. Reviewing the answer together with nearby questions helps reinforce the underlying concept and identify how it may appear in competitive exams.