Question

Solve for x :-2^2x - 2^(x+3)+2⁴=0​

Answer 1

Answer:

X=2

Step-by-step explanation:

2^2x-2^(x+3)+2^4=0

=> (2^x)^2-2^3(2^x)+16=0

[Assume 2^x=a]

=>a^2-8a+4^2=0

=>a^2-2.a.4+4^2=0

[Now use (a-b)^2 formula]

=>(a-4)^2=0

=>a-4=0

=> a =4

[Now put a=2^x]

=>2^x=2^2

So, X=2