WAEC Further Mathematics 2022 Objective — Question 3
Question 3 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2022 Objective paper, with the correct answer and a full explanation.
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If log₁₀⁷⁷⁷⁽³ˣ⁻¹⁾ + log₁₀⁷⁷⁷⁴ = log₁₀⁷⁷⁷⁽⁹ˣ⁺²⁾ (i.e. log₁₀[10^(3x−1)] + log₁₀[4] = log₁₀[10^(9x+2)]), find x.
- A. 1/3
- B. 1
- C. 2Correct
- D. 3
Explanation
Combining the logs: log₁₀[4×10^(3x−1)] = log₁₀[10^(9x+2)], so 4(3x−1)=9x+2, giving 12x−4=9x+2, so 3x=6, x=2.
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