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If (6x)^6=6^2^3, how would one find the value of x?
6^2^3 (an example of tetration) is the same as 6^(2^3), or 6^8.
(6x)^6 = 6^8
(6x)^6 is the same as 6^6 * x^6.
6^6 * x^6 = 6^8.
6^2 = 6^(8–6), which is the same as 6^8 / 6^6.
dividing both sides by 6^6 gives x^6 = 6^2.
6^2 = 36, so x^6 = 36.
hence, x^6 is the 6th root of 36, or the cube root of 6.
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Step-by-step explanation:
(6x)⁶ =6²×³
6x⁶=6⁶
⁶ cancel out other ⁶
and now,
6x=6
x=1
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