If 2 ^ (2m+1) = 2 ^ (n+2) What is the value of m+n?
(1) 2 ^ (3n-1) = 256
(2) 2 ^ (m+2n) = 256
OA [spoiler]: D[/spoiler]
(1) 2 ^ (3n-1) = 256
(2) 2 ^ (m+2n) = 256
OA [spoiler]: D[/spoiler]
2 ^ (2m+1) = 2 ^ (n+2)
2^2m.2=2^n.2^2
2^2m=2^n.2
2m=n+1--> equ 1
St 1 2 ^ (3n-1) = 256
2^3n/2 = 2^8
2^3n=2^9
3n = 9
n=3
Substituting in equ 1 you get m = 2---SUFF
St 2 2 ^ (m+2n) = 256
2^m.2^2n = 2^8
m+2n = 8
From equ 1 --> 2m=n+1; m=(n+1)/2
m+2n=8
(n+1)/2+2n=8
n=3, m=2---SUFF
Answer D
Thanks cramya for posting this warm up question. Hope to see more such questions. Thanks logitech for taking the initiative.
