Mathematics 9709 · AS & A Level · Logarithmic and exponential functions

Logarithmic and exponential functions — practice question

(main)[4]

Solve the equation $2\ln(5 - e^{-2x}) = 1$, and give your answer correct to 3 significant figures.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Eliminate the logarithms to reach $5-e^{-2x}=e^{\frac{1}{2}}$, or an equivalent form

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI