Question

If 4x-4x-1=24 then the value if (2x)x equals

Answer 1

Answer:

25√5

Step-by-step explanation:

Given 4x - 4x - 1 = 24

⇒ 4x – (4x/ 41) = 24 [Since a m - n = am / an]

⇒ 4x [1 – (1/ 4)] = 24

⇒ 4x [3/4)] = 24

⇒ 4x = 24 × (4/3) = 32

⇒ (22)x = 25

⇒ 22x = 25

Comparing both the sides we get 2x = 5

Hence x = 5/2

Now consider, (2x)x = [2(5/2)]5/2

                              = [5)]5/2

                              = [55]1/2

                              = √55

                              = 25√5