If 4 x – 4 x -1 = 24, then (2 x ) x equals

Question

If 4 x &#x2013; 4 x -1 = 24, then (2 x ) x equals

Philoid · Accepted Answer

4^x – 4^{x – 1} = 24

Let 4x = y

y - = 24

4y – y = 96

y = 32

4^x = 32

2^2x = 2⁵

(2x)^x = (2 × )^5/2

= (5)^5/2 = 25