“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:
.
A left identity is an elementin 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 numberfor which
.
Grandad