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Exponential in equation

  1. Jan 20, 2013 #1
    1. The problem statement, all variables and given/known data
    2^x + 2^(4-x) > 17

    2.The attempt at a solution
    I factorized for 2^(-x) so I have 2^(-x) * (16 + 2^(2x)) > 17 but I don't know what to do after... could you help me ?

    thanks
     
  2. jcsd
  3. Jan 20, 2013 #2

    SammyS

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    Re: exponential inequation

    Let u = 2x .
     
  4. Jan 20, 2013 #3
    Re: exponential inequation

    how does it become ?
     
  5. Jan 20, 2013 #4

    vela

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    That's what you're supposed to figure out and show us.
     
  6. Jan 20, 2013 #5
    Thanks I figured it out and solved correctly.

    (u^2 - 17u +16)/u > 0
     
  7. Jan 20, 2013 #6

    SammyS

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    What did you get when you solved for x ?
     
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