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I think all are different

let x =2^2^2^10 with base =2

then logloglogx = logloglog(2^2^2^10)

                        =10

log^3 (x) is similar to (logx)^3

                =log(2^2^2^10)

                =(2^2^10)^3

(logx)3 =(log(2^2^2^10))3

            =((2^2^10)^3)3

            =(2^30)3

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