Mathematics 9709/32 — October/November 2011

Cambridge A-Level · Pure Mathematics 3 · worked solutions for every part, with the mark scheme

questions

marks

105

minutes

Topics Differentiation · Algebra · Trigonometry · Integration · Logarithmic and Exponential Functions · Differential Equations · +3 more

Q14MLogarithmic and Exponential FunctionsFree sample

Using the substitution $u = e^x$ , or otherwise, solve the equation

e^x = 1 + 6e^{-x}

giving your answer correct to 3 significant figures.

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