Explanation :
To solve for x in the equation ln(x-6) = ln(x-2) - 1, we can start by equating the expressions inside the logarithms:
x - 6 = x - 2 - 1
Next, we can simplify the equation by combining like terms:
x - 6 = x - 3
To isolate x, we can subtract x from both sides:
-6 = -3
However, this equation has no solution. Therefore, there is no solution for x in the given equation.