User blog:Mango523WNR/Feb 6, 2020

n PT m=10^10^10...^10^m (n tens)

n PT 10=(n+1) PT 1

1 PT 0=10

x=10^log(x)=1 PT log(x)

10^x=10^10^log(x)=2 PT log(x)=1 PT x

n PT m=(n-1) PT 10^m

x^x=10^log(x^x)=10^[xlog(x)]

x^^3=10^log(x^x^x)=10^[(x^x)log(x)]=1 PT (x^x)log(x)=2 PT log[(x^x)log(x)]=2 PT [xlog(x)+log(log(x))]

3^^1~1 PT 0.47712~0 PT 3

3^^2~1 PT 1.43136

3^^3~2 PT (3*0.47712-0.321371)~2 PT 1.109989~1 PT 12.88~7.6*10^12

3^^4~1 PT 3,638,334,640,024.1~2 PT 12.56~3 PT 1.11