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CAIE A-Level Mathematics AS 2.2.3 Log Equations Questions

Practise solving equations and inequalities where the unknown is in an index, using logarithms and substitutions such as e^x.

Syllabus
2028–2030
Course
Mathematics 9709
Level
AS

Exam points

  • use vector notation and operations
  • solve geometric problems with vectors
  • interpret vector relationships

CAIE A-Level Mathematics AS 2.2.3 Log Equations Questions question 1

[Maximum number: 4]

Use logarithms to solve the equation 62x−1=5e3x+26^{2 x-1}=5 \mathrm{e}^{3 x+2}. Give your answer correct to 4 significant figures.

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