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Mathematics 8 Online
OpenStudy (anonymous):

e^(2x)+2e^x=24

OpenStudy (alexandervonhumboldt2):

what is e?

OpenStudy (alexandervonhumboldt2):

2 in(2)

OpenStudy (mathstudent55):

Treat this as a quadratic in \(e^x\). You can use a substitution: Let \(y = e^x\) Then you have \(y^2 + 2y - 24 = 0\) Solve this quadratic for y. Then substitute back \(e^x = y\) and solve for \(e^x\). Finally, solve for x.

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