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Solve (e^x + 49e^-x)/2 = 7

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1 Answer

Let u = e^x

u + 49/u = 14

u^2 - 14u + 49 = (u-7)^2 = 0

u = 7

e^x = 7

x = ln(7) <==Answer

Comments

Robert...great answer....clear, common algebraic concepts used to simplify a complex looking question.