What is x if (x^1/3)^(logx x^2 +2)=2log3 27?

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We have to find x if (x^1/3)^(logx x^2 +2)=2log3 27

(x^1/3)^(log(x) x^2 +2) = 2 log(3) 27

=> (x^1/3)^(log(x) x^2 +2) = 2*3 log(3) 3

=> (x^1/3)^(log(x) x^2 +2) = 6

=> (x^1/3)^(2 + 2) = 6

=> (x^4/3) = 6

=> x=  6^(3/4)

The value of x is 6^(3/4)

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