Final answer:
The equation for the logarithmic function that transforms the parent function of y=logx, 2 units down and 3 units to the right is y=log10(x-3)-2.
Step-by-step explanation:
The equation for the logarithmic function that transforms the parent function of y=logx, 2 units down and 3 units to the right can be found by using the general logarithmic function equation, y=logb(x-c)+d, where b is the base of the logarithm, c is the horizontal shift, and d is the vertical shift.
In this case, the base is 10 (since we're using the common logarithm), the horizontal shift is 3 units to the right, and the vertical shift is 2 units down.
Therefore, the equation for the logarithmic function is y=log10(x-3)-2.