Solve, correct to 3 significant figures, the equation

e^x + e^2x = e^3x

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- Oct 16th 2008, 12:03 AMmanutd4lifeLogarithm Urgent
Solve, correct to 3 significant figures, the equation

e^x + e^2x = e^3x - Oct 16th 2008, 12:31 AMPeritus
$\displaystyle \begin{gathered}

e^x \left( {e^{2x} - e^x - 1} \right) = 0 \hfill \\

z \equiv e^x \hfill \\

\Rightarrow z\left( {z^2 - z - 1} \right) = 0 \hfill \\

\end{gathered} $

now solve the quadratic equation and back substitute for x.