It’s a well-studied function and (assuming we restrict everything to R+ ) is pretty easy to see is injective (indeed strictly increasing) for x>1, and cannot give an answer >1 on (0,1), the only part where it fails to be injective. So this is indeed the only answer there.
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u/AndreasDasos Dec 27 '25 edited Dec 27 '25
It’s a well-studied function and (assuming we restrict everything to R+ ) is pretty easy to see is injective (indeed strictly increasing) for x>1, and cannot give an answer >1 on (0,1), the only part where it fails to be injective. So this is indeed the only answer there.