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exponential equation

sage: solve(exp(-x)+exp(x) == 2,x) [x == 0] sage: solve(exp(-2x)+exp(2x) == 2,x) []

Can tell me anyone why the second equation has no solution?

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exponential equation

sage: solve(exp(-x)+exp(x) == 2,x) [x == 0] sage: solve(exp(-2x)+exp(2x) == 2,x) []

Can tell me anyone why the second equation has no solution?