Solving Exponential Equations with \(e^x\)

00:00 3 marks

  • Exam Style - Paper 1
  • HL
  • Tier 2
  • Algebraic manipulation
  • Exponential functions
  • Logarithms
  • Quadratic equations

Solve for \(x\) in the equation \(e^{2x} – 5e^x + 6 = 0\).

Hint Hint

Hint

Let \(u = e^x\) to transform the equation into a quadratic equation in terms of \(u\).

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Complete Answer

\(x = \ln(2)\) or \(x = \ln(3)\)

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