User blog comment:JTOnstead20/Hyper-Log Notation/@comment-25601061-20161002164743

1. (First order function) Log function works the other way around, you probably mean L(n) = 10^n

2. (Second order function) Why let ... = log(n) if you can just write it as 10^(log(n))^(log(n))^(log(n))^(log(n))? Also, same problem as before: you probably mean 10^n instead of log(n).

3. (Third order function) Same problem as before, you probably mean 10^n instead of log(n)

4. (Beyond third order function) The rule is not specified, it only says it depends on the number of parentheses, but how the rule changes depending on the parentheses is not specified.

5. (Beyond third order function) If ... = L((((((((((googol)))))))))), then Duodekalogogoogol = L(L((((((((((googol))))))))))(googol)L((((((((((googol))))))))))), which doesn't even have any type of rules specified.