Question

Find the value of x - 2 if 6 raise to the power x equals 1​.

Answer 1

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.