The power of X + 1 of (x-1) is equal to 1. Find the value of X

The power of X + 1 of (x-1) is equal to 1. Find the value of X

If the nth power of a number is 1, then the absolute value of the number must be 1
That is to say, if the absolute value of X-1 is one, then x = 0 or 2
Bring in verification, only 2 meet
If the power of 0 of any number is one, then x = - 1
So the answer is 2 or - 1

X-1 / 3 power of (x-1) = 1 (x ≠ 1)

When the index is 0
x-1/3=0
x=1/3
Or the base is 1
x-1=1
x=2

The a power of 2 - the - a power of 2 is equal to the a power of 2 + the - a power of 2
The power of a of sum 2 equals to involution

(2^a + 2^-a) ^ 2 = (2^a -2^-a) ^ 2 +4
It can be concluded that 2 ^ A + 2 ^ - a = 2 √ 2