0580/22 May/Jun 2026, Question 24: Exponential equations
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 3 marks
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The question, in short
Solve 7²ˣ⁺¹ = 49²⁻ˣ for x.
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Solution · 3 marks
- 149²⁻ˣ = (7²)²⁻ˣ = 7⁴⁻²ˣ
- 22x + 1 = 4 − 2x
- 34x = 3
- 4x = 3/4
Answer3/4
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