Curriculum
Course: Pure Mathematics — Second Secondary
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Curriculum

Pure Mathematics — Second Secondary

Unit 1: Real Functions and Curve Sketching

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Unit 2: Exponents and Logarithms

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Unit 3: Limits

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Unit 4: Trigonometry

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Text lesson

Solving Exponential Equations

Pure Mathematics — Second Secondary

Solving Exponential Equations

Lesson summary

Lesson summary

  • If ax = ay, then x = y, where a > 0 and a ≠ 1.
  • To solve an exponential equation, write the bases as the same number and equate the exponents.
  • If powers appear with doubled exponents, substitute a new variable and solve a quadratic equation.
  • Reject any value of the new variable that is negative or zero when it represents an exponential function.
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