SOLUTION: If x is a real number, find the minimum value of {{{ 3^(x^2 - 4x+8)}}} Please Help! Thanks to you all!

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Question 831607: If x is a real number, find the minimum value of

Please Help! Thanks to you all!

Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
If x is a real number, find the minimum value of

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It's at the min value of
2x - 4 = 0
x = 2
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= 81

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
If I say

then is smallest when
is a minimum.
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When the form is , then
the minimum is at





plug this back into the equation:



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Now I can say the minimum is at

Here's a plot of and

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