If x = 12 ^ (12 ^ (12 ^ (12 ^ 12))) + 255 ^ (255 ^ 255) + 36 ^ (36 ^ (36 ^ 36)) then the unit digit of x is equal to

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Unit digit of the number we get when 255 is multiplied with 36 is

\int_{3}^{6} (\sqrt{x + \sqrt{12 x - 36}} + \sqrt{x - \sqrt{12 x - 36}}) d x

(- 36) + (+ 12)

x = {log}_{24} 12, y = {log}_{36} 24

z = {log}_{144} 36

1 + 2 x y z

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