Question

if 4^x-4^x-1=24, find (2^x)^x

pls answer don't answer unnecessarily pls it's urgent​

Answer 1

Answer:

4X - 4X - 1 = 24

ie., (2)2x - (2)2(x-1) = 24

ie., (2)2x - (2)2x-2 = 24

ie., (2)2x - (2)2x/4 = 24

On simplifying, we get

(2)2x = 32 = 25

So, 2x = 5

ie., x = 5/2

Now,

(2x)x = 2(5/2)5/2

= (5)5/2

= 25(5)1/2

= 25 ^5

Hope this helps!!

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