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A-LevelMathematicsLogarithmic and exponential functions9709/32 · Oct/Nov 2019 · Q13 Marks

Solve the equation 5 ln(4 – 3ˣ) = 6. Show all necessary working and give the answer correct to 3 decimal places.

  1. (a)Solve the equation 5 ln(4 – 3ˣ) = 6. Show all necessary working and give the answer correct to 3 decimal places.[3]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2019). The mark or mark type is shown in brackets.

  1. [B1] Remove logarithms and state 4−3ˣ = e1.2, or equivalent
  2. [M1] Use correct method to solve an equation of the form 3ˣ = a, where a > 0.
  3. [A1] Obtain answer x = −0.351 only

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About this question

Topic
Logarithmic and exponential functions, A-Level Mathematics (syllabus 9709). Structured question, 3 marks.
Source
A-Level Mathematics, Oct/Nov 2019 Paper 3 Variant 2, question 1.

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