Final answer:
The center of the circle represented by the equation (y-3)²+(x-4)²=5 is at the point (4, 3).
Step-by-step explanation:
The equation (y-3)²+(x-4)²=5 represents a circle in the coordinate system. To find the center of the circle, we can compare the equation to the standard form of a circle's equation, which is (y-k)²+(x-h)²=r², where (h, k) is the center and r is the radius. Using this comparison, we can see that the center of the circle is at the point (4, 3).