Q1: If log₁₀ 5 + log₁₀ (5x + 1) = log₁₀ (x + 5) + 1, then x is equal to:

ANS:B - 3

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.