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A-LevelMathematicsLogarithmic and exponential functions9709/22 · Oct/Nov 2017 · Q14 Marks

Use logarithms to solve the equation 5³ˣ⁻¹ = 2⁴ˣ, giving your answer correct to 3 significant figures.

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2017). The mark or mark type is shown in brackets.

[*M1] Introduce logarithms to both sides and use power law
[A1] Obtain (3x-1) log 5 = 4x log2 or equivalent
[DM1] Solve linear equation for x
[A1] Obtain 0.783

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About this question

Topic: Logarithmic and exponential functions, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source: A-Level Mathematics, Oct/Nov 2017 Paper 2 Variant 2, question 1.

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