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Solve the equation $e^x = 1 + 6e^{-x}$, and present your answer correct to $3$ significant figures.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Logarithmic and exponential functions — practice question
By making the substitution $u = e^x$, or by another method, solve the equation
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Recast it as $e^{2x}-e^x-6=0$, or $u^2-u-6=0$, or an equivalent form” …
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