That there exists an x such that 3^x=x^2.

(Thanks for responding to my obvious question)

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- Sep 21st 2010, 08:44 PMkrticaHow can I prove:
That there exists an x such that 3^x=x^2.

(Thanks for responding to my obvious question) - Sep 22nd 2010, 12:31 AMaman_cc
Hint - Let f(x) = 3^x - x^2

1. f(x) is continous

2. what is f(-1) and f(0)

Cna you take it from here? - Sep 22nd 2010, 04:56 AMHallsofIvy
Lovely! krtica, aman_cc's point is that you are NOT asked to find such an x, just prove that it exists.

- Sep 22nd 2010, 06:36 AMAckbeet
It is against the rules to remove the OP. See Rule # 7. If you don't restore the original question, a mod will do that for you and you'll get an infraction.

You've been warned.