(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove: If x is a positive odd integer, then [tex]2^x + 3^x[/tex] is also a positive odd integer.

3. The attempt at a solution

Assume x is odd; there exists an integer k such that x = 2k + 1. Then

[tex]2^x + 3^x = 2^{2k+1} + 3^{2k+1}[/tex]

I don't know how to go about simplifying it from here.

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# Homework Help: If x is odd, then 2^x + 3^x is also odd

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