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Logarithms & Exponentials

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Topic overview

Properties of ln/e, logarithmic equations, exponential growth

Key concepts

Discontinued; only retained for training on the final historical syllabus scope, and is not a current entrance examination.

Key points

  • ◆Follow the prerequisite knowledge requirements given by the examination body; new concepts may only be used when the question provides sufficient guidance.
  • ◆The examples on this site are training with a limited scope and do not represent full syllabus coverage or official difficulty.

Worked examples

Try each example yourself before checking the explanation.

1Basic examples within scope

If log⁡2x+log⁡4x+log⁡8x=11\log_2 x + \log_4 x + \log_8 x = 11, find xx.

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