0580/22 Oct/Nov 2025, Question 24: Exponential Equations
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 2 marks
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The question, in short
Solve 27ⁿˣ = (9ˣ)² for the value of n.
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Solution · 2 marks
- 127ⁿˣ = (3³)ⁿˣ = 3³ⁿˣ
- 2(9ˣ)² = 9²ˣ = 3⁴ˣ
- 33n = 4, so n = 4/3
Answer4/3
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