[4^9] If [x^{1/3}] - [x^{1/9}] = 60 then find the value of x.

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If [$x^{1/3}$] - [$x^{1/9}$] = 60 then find the value of x.

$4^8$

$6^8$

$4^9$

$5^8$

Explanation:

Let t = $x^{1/9}$

So,

t3-t=60

Therefore, (t-1) x t x (t + 1) = 60 =3 x 4 x 5.

therefore, t = $x^{1/9}$ =4.

hence, x = $4^9$

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