Question

14) If 4 ^x-4^x-1 = 24, then (2x)^x equals​

Answer 1

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4X - 4 X-1 = 24

i.e., (2)2x - (2)2(x -1) = 24

i.e., (2)2x - (2)2x -2) = 24

i.e., (2)2x - (2)2x /4= 24

On simplifying, we get

(2)2x = 32 = 25

So, 2x = 5

i.e, x = 5/2

Now, 

(2x)x = (2 x 5/2)5/2

        =  (5)5/2  

         = 25 (5)1/2

        = 25√5

Answer 2

Answer:

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