Find out the value of (2x)^x || Algebra

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[juandelacruz]

I got the same answer. nice math problem.

[gelbkehlchen]

Solution:
4^x-4^(x-1) = 24 |*4 ⟹ 4*4^x-4^x = 96 ⟹
(4-1)*4^x = 96 |/3 ⟹ 2^(2x) = 2^5 ⟹
2x = 5 |/2 ⟹ x = 5/2 ⟹
(2x)^x = 5^(5/2) = √3125