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Logarithmic and exponential functions

3.2

What the syllabus asks of you

  • understand the relationship between logarithms and indices, and use the laws of logarithms (excluding change of base)
  • understand the definition and properties of eˣ and ln x, including their relationship as inverse functions and their graphs
  • use logarithms to solve equations and inequalities in which the unknown appears in indices
  • use logarithms to transform a given relationship to linear form, and hence determine unknown constants by considering the gradient and/or intercept.

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Chapter 10: Logarithmic and exponential functions

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All 79 questions on Logarithmic and exponential functions, untimed — answer on paper, then mark yourself against the mark scheme.

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79 questions

These are structured questions, answered in working rather than by picking an option, so they are not listed here one by one. The drill above puts each in front of you with its mark scheme to check against.