if 4^×-4^×-1=24,then find the value of x
siddhartharao77:
I think the answer is 5/2.Is it correct?
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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
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
Sorry for the disturbance. But the question is 4^x. You have written 4x.
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