Final answer:
The value of x - 2 when 6 raised to the power x equals 1 is -2 because 6 to the power of 0 equals 1, which implies that x must be 0.
Step-by-step explanation:
To find the value of x - 2 when 6 raised to the power x equals 1, we can note that any non-zero number raised to the power of 0 equals 1. Therefore, the only way that 6x equals 1 is if x itself is 0. Once we have determined that x is 0, finding x - 2 is straightforward:
- x = 0
- x - 2 = 0 - 2
- x - 2 = -2
Thus, the value of x - 2 is -2.