if 4^(x)-4^(x-1)=24 what is the value of (2x)^x? please answer and explain step by step how u got it... PLEASE?????
4^(x)-4^(x-1)=24
4^(x-1) (4 - 1) = 24
4^(x-1) = 8
(2^2)^(x-1) = 2^3
2^(2x-2) = 2^3
then 2x-2 = 3
2x = 5 and x = 5/2
thus: (2x)^x = (5)^(5/2)
= (√5)^5 = 25√5