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How to prove that $Ax = e^x$ has two solutions when $e < A < \infty$? This is easy to visualise graphically, but how can it be shown with algebra?

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    I'm thinking you want to use the Intermediate Value Theorem, but that's not really "algebra."2012-11-24
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    Does "algebra" include the material in a basic introduction to calculus?2012-11-24

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