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I was recently scribbling on paper, and after a series of ideas, I got stuck with a problem. That is, can I find out if there exists some integers A and B such that

[itex]C=2^{A}3^{B}[/itex]

For some integer C?

For an arbitrary C, how do I know whether some [itex]A, B \in \textbf{Z}[/itex] exist?

Cheers for reading!

Adrian

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# Integer solution to exponential diophantine equation

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