if s, u, v are positive integers and
2^s = 2^u + 2^v, which of the following must be true?
i. s=u
ii. u <> v
iii s>v
A)None
B) 1 only
C) II only
D) III only
E) II and III
OA is D
I was able to solve this by POE, but mathematically how to solve this.Is there a way to prove s>v mathematically rather than by substitution.
2^s = 2^u + 2^v, which of the following must be true?
i. s=u
ii. u <> v
iii s>v
A)None
B) 1 only
C) II only
D) III only
E) II and III
OA is D
I was able to solve this by POE, but mathematically how to solve this.Is there a way to prove s>v mathematically rather than by substitution.
