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Exponential Equations (AQA AS Maths) : Revision Note

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AQA Maths: PureCambridge (CIE) Maths: Pure 2OCR Maths A: PureEdexcel Maths: Pure

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Exponential Equations

What are exponential equations?

Exponential Equations Notes fig1, A Level & AS Maths: Pure revision notes

  • An equation where the unknown is a power

  • In simple cases the solutions can be “spotted”

    Exponential Equations Notes fig2, A Level & AS Maths: Pure revision notes

How do I solve exponential equations?

  • Laws of Indices are often needed to rewrite equations

  • Laws of Logarithms are used to solve exponential equations

  • ln (loge) is often used

  • Answers are often written in terms of ln

Exponential Equations Notes fig4, A Level & AS Maths: Pure revision notes
Exponential Equations Notes fig5, A Level & AS Maths: Pure revision notes
Exponential Equations Notes fig3, A Level & AS Level Pure Maths Revision Notes

What about hidden quadratics?

  •  Look out for “hidden” squared terms, these are hidden quadratics which will need to be solved

    • 4x = (22)x = 22x = (2x)2

    • e2x = (e2)x = (ex)2

Exponential Equations Notes fig6, A Level & AS Maths: Pure revision notes

Worked Example

Exponential Equations Example fig1, A Level & AS Maths: Pure revision notes

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Paul

Author: Paul

Expertise: Maths Content Creator (Previous)

Paul has taught mathematics for 20 years and has been an examiner for Edexcel for over a decade. GCSE, A level, pure, mechanics, statistics, discrete – if it’s in a Maths exam, Paul will know about it. Paul is a passionate fan of clear and colourful notes with fascinating diagrams.

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