第1个回答 2013-03-23
1.错
2.
(n-3)非-1, 0, 1时
(n-3)^n = (n-3)^(2n-2)
n = (2n-2)
n=2
(n-3) = -1 时 n =2 , (-1) ^2 = (-1)^(2*2-2); n=2是解
(n-3) =0 时 n =3 , 0^3= 0^(2*3-2); n=3是解
(n-3) =1 时 n =4 , 1^4= 1^(2*4-2); n=4是解
满足(n-3)的n次方=(n-3)的2n-2次方的正整数n = 2, 3, 4
3.
(n-3)非-1, 0, 1时
(n-3)^(n+3)=(n-3)^2n
n+3 = 2n
n =3
(n-3) = -1 时 n =2 ,(-1) ^(2+3) != (-1)^(2*3); n=2不是解
(n-3) =0 时 n =3 , 0^(3+3) = 0^(2*3); n=3是解
(n-3) =1 时 n =4 , 1^(3+3)= 1^(2*3) ; n=4是解
满足(n-3)的n次方=(n-3)的2n-2次方的正整数n = 3, 4