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## 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