User blog:Edwin Shade/Size Comparison of Power Towers

Oodles and Oodles of Googoly Googols
Question To Be Resolved 1:

Is there a general way to sort by size $$x_1^{x_2^{x_3^{.^{.^{.^{x_n}}}}}}$$, where n is a finite number and $$x_m$$ may be either a googol, (denoted henceforth as g), or a googolplex, (denoted henceforth as G) ?

Comparisons 1
\(g^g=10^{10^{102}}\)