- #1
- 2,571
- 1
Homework Statement
Prove directly:
Prove that if [tex]2^{2x}[/tex] is odd integer, then [tex]4^{x}[/tex] is odd integer
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