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  1. I was looking into operators beyond exponents when I discovered a few properties of iterated exponents and nested logarithms. I'm not claiming that I am the first to discover these properties. I am well aware of work that has been done on Tetration and the Ackermann function. However, I have not found these properties of iterated exponentiation and nested logarithms anywhere. Iterated Exponentiation Most of us are aware of nested exponents and how to simplify the math that uses them: [math]\left(a^b\right)^c=a^{b\, c}[/math] So, I began to wonder about iterated exponents and if I c
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