“Exponentiation on reals has no left identity.” What does this mean exactly?
Hello thehollow89Exponentiation on reals takes a real number, , and raises a base, , say, to the power of . So, using notation, exponentiation can be defined as the binary operation:
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A left identity is an element in the domain of , such that in the domain.
So to say that exponentiation on reals has no left identity is to say that there is no real number for which .
Grandad