Question 592770: how to solve e
e^-x - X e^-x =0 ? Thanks!
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
Two problems with your posting here. First, I'm not sure what you mean by "how to solve e". If you meant "how to solve for e" then your question makes no sense. You can't solve for a constant; the constant is what it is, and e is the base of the natural logarithms, approximately 2.718.
On the other hand, if you want to solve for x, you have a different problem. Your equation lists two variables, x and X. Yes, they are very different things.
So going on the wild-ass presumption that you actually meant:
"Solve  for  "
Proceed as follows:
Factor  out of the LHS:
\ =\ 0)
Since is asymptotic to the positive -axis, the solution set of  is the empty set.
Hence by the Zero Product Rule:
hence
John
My calculator said it, I believe it, that settles it
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