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AQA A Level Maths: Pure復習筆記6.2.2 Exponential Equations

Category: A-level課程, 教材筆記, 福利干貨 Date: 2022年8月8日 下午5:58

Exponential Equations

What are exponential equations?

6.2.2-Exponential-Equations-Notes-fig1

  • An equation where the unknown is a power
  • In simple cases the solutions can be “spotted”6.2.2-Exponential-Equations-Notes-fig2

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

6.2.2-Exponential-Equations-Notes-fig4

6.2.2-Exponential-Equations-Notes-fig5

6.2.2-Exponential-Equations-Notes-fig3

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

6.2.2-Exponential-Equations-Notes-fig6

Worked Example

6.2.2-Exponential-Equations-Example-fig1

 

 

 

 

 

 

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