4MA1/2FR Jun 2022, Question 24: Exponential Equations
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 2 marks
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The question, in short
Given 2ᵏ ÷ 4ⁿ = 2ˣ, write x as an expression involving k and n.
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Solution · 2 marks
- 12^k = (2²)ⁿ * 2ˣ
- 22^k = 2^(2n) * 2ˣ
- 32^k = 2^(2n + x)
- 4k = 2n + x
- 5x = k − 2n
Answerk − 2n
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