Math, asked by sunitaaryaa1, 1 year ago

If 4^x-4^x-1=25,
Then,find the value of x.

Answers

Answered by shubhendu74
0
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
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