1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

May I get a comment on this proof?

  1. Oct 26, 2011 #1
    1. The problem statement, all variables and given/known data

    Prove directly:

    Prove that if [tex]2^{2x}[/tex] is odd integer, then [tex]4^{x}[/tex] is odd integer


    3. The attempt at a solution

    [tex]2^{2x} = 2k + 1[/tex] for some k is integer

    [tex]2^{2x} = 4^{x} = 2k + 1[/tex]

    Thus completes the proof?

    Am I allow to make the assumption (fact) [tex]2^{2x} = 4^{x}[/tex]?

    Thanks
     
  2. jcsd
  3. Oct 26, 2011 #2

    micromass

    User Avatar
    Staff Emeritus
    Science Advisor
    Education Advisor
    2016 Award

    That is correct. It is indeed true that [itex]a^{bc}=(a^b)^c[/itex].
     
  4. Oct 26, 2011 #3
    nvm...I am just being an idiot
     
  5. Oct 26, 2011 #4
    That's okay, sometimes I get concerned when things are trivial too.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: May I get a comment on this proof?
  1. DE I don't get (Replies: 1)

  2. How do I get this? (Replies: 7)

Loading...