Discussion

Question:

Find the value of x from the following equation:

Log₁₀3 + log₁₀ (4x+1) = log₁₀ (x+1) + 1

Explanation:

log₁₀ 3 + log₁₀ (4x + 1) = log₁₀ (x + 1) + 1

∴ log₁₀ 3 + log₁₀ (4x + 1) – log₁₀ (x + 1) = 1

∴ log₁₀ [3(4x + 1)/(x + 1)] = 1

∴ (12x + 3)/(x + 1) = 10

∴ x = 7/2

Hence, option (b).

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