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Exponential in equation

  • #1
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Homework Statement


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
 

Answers and Replies

  • #2
SammyS
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Homework Statement


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
Let u = 2x .
 
  • #3
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how does it become ?
 
  • #4
vela
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That's what you're supposed to figure out and show us.
 
  • #5
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Thanks I figured it out and solved correctly.

(u^2 - 17u +16)/u > 0
 
  • #6
SammyS
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Thanks I figured it out and solved correctly.

(u^2 - 17u +16)/u > 0
What did you get when you solved for x ?
 

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