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A-LevelMathematicsLogarithmic and exponential functions9709/33 · Oct/Nov 2021 · Q34 Marks

Solve the equation 4ˣ⁻² = 4ˣ – 4², giving your answer correct to 3 decimal places.

Solve the equation 4ˣ⁻² = 4ˣ – 4², giving your answer correct to 3 decimal places.[4]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.

[M1] Use laws of indices correctly and solve for 4ˣ
[A1] Obtain correct solution in any form, e.g. 4ˣ = 256/15
[M1] Use a correct method for solving an equation of the form 4ˣ = a, where a > 0
[A1] Obtain answer 2.047

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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 2021 Paper 3 Variant 3, question 3.

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