We need to solve: log(500n) = 3. This means 500n = 10^3 = 1000, so n = 1000/500 = 2. Therefore, the integer is 2. Option A (450), B (8), and C (1500) are incorrect solutions.
log₁₀(500x)=3 means 500x=10³=1000, so x=1000/500=2. The other options come from misreading the equation (e.g., treating 500x as the answer itself, or misplacing the exponent).