# mathURGENT!!!!!!!

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if (4^x)-(4^x-1)=24 what is the value of (2x)^x? please answer and explain step by step how u got it... PLEASE?????

• mathURGENT!!!!!!! -

let u = 4^x
then
u - u/4 = 24
3u = 96
u = 32
so, 4^x = 2^5
but 4^x = 2^(2x), so
2x = 5
x = 5/2

(2x)^x = 5^(5/2) = 25√5

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