Question

4 to the power x minus 4 to the power x - 1 = 24 find the value of x

Answer 1

4X - 4 X-1 = 24 i.e., (2)2x - (2)2(x -1) = 24 i.e., (2)2x - (2)2x -2) = 24i.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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