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A-LevelMathematicsLogarithmic and exponential functions9709/31 · May/June 2020 · Q14 Marks

Find the set of values of x for which 2(3^(1−2x)) < 5^x. Give your answer in a simplified exact form.

  1. (a)Find the set of values of x for which 2(3^(1−2x)) < 5^x. Give your answer in a simplified exact form.[4]

Mark scheme

Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.

  1. [M1] Use law of the logarithm of a product or power
  2. [A1] Obtain a correct linear inequality in any form, e.g. ln 2 + (1 −2x) ln 3 < x ln 5
  3. [M1] Solve for x
  4. [A1] Obtain x > ln 6 / ln 45

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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 2020 Paper 3 Variant 1, question 1.

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