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Determine the possible values of $e^x$ and then solve $3e^x + 8e^{-x} = 14$ correct to $3$ significant figures.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Logarithmic and exponential functions — practice question
If $3e^x + 8e^{-x} = 14$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Put the equation into the form $3e^{2x} - 14e^x + 8 = 0$ or another equivalent form using substitution” …
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