Finding the value of x in the given equation "6^x-2 = 1" requires solving for x. Let's break down the problem step by step:

Step 1: Understand the equation
The equation "6^x-2 = 1" involves an exponentiation operation, where 6 is raised to the power of (x-2). The goal is to find the value of x that satisfies this equation.

Step 2: Simplify the equation
To simplify the equation, we can rewrite it as "6^(x-2) = 1". Since any number raised to the power of 0 equals 1, we can infer that x - 2 must be equal to 0.

Step 3: Solve for x
To find the value of x, we can solve the equation x - 2 = 0 by isolating x on one side of the equation. Adding 2 to both sides, we get x = 2.

Therefore, the value of x that satisfies the equation "6^x-2 = 1" is x = 2.

Summary:
- The equation "6^x-2 = 1" involves an exponentiation operation.
- We can simplify the equation to "6^(x-2) = 1".
- Since any number raised to the power of 0 equals 1, we can infer that x - 2 must be equal to 0.
- Solving the equation x - 2 = 0, we find that x = 2.
- Therefore, the value of x that satisfies the equation is x = 2.