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A-LevelMathematicsLogarithmic and exponential functions9709/21 · May/June 2023 · Q14 Marks

Use logarithms to solve the equation 12x = 32x+1. Give your answer correct to 3 significant figures.

  1. Use logarithms to solve the equation 12x = 32x+1. Give your answer correct to 3 significant figures.[4]

Mark scheme

Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.

  1. [M1] Apply logarithms to both sides and apply power law correctly at least once OE with x not in a power.
  2. [A1] Obtain xln12 = (2x + 1) ln 3
  3. [DM1] Attempt solution of linear equation
  4. [A1] Obtain 3.82 Do not condone incorrect use of logarithms or greater accuracy.

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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, May/June 2023 Paper 2 Variant 1, question 1.

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