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

Logarithmic and exponential functions — practice question

(main)[4]

With all necessary working shown, solve the equation $\frac{2e^x + e^{-x}}{e^x - e^{-x}} = 4$, and give your answer correct to $2$ decimal places.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Transform the equation into the form $ae^{2x}=b$ or $ae^x=be^{-x}$

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