Question: Use the substitution u = e x to reduce the equation e 2x 8e x +12 = 0 to a quadratic equation in u.

Use the substitution u = e^x to reduce the equation e^2x − 8e^x +12 = 0 to a quadratic equation in u. Factorise this quadratic and hence find the value(s) of u which satisfy it. What are the value(s) of x, correct to two decimal places, which satisfy the original equation?

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