Does a gravitational model have to take logarithms

No. By looking up information on the theory of gravitational modeling, it is known that taking logarithms can help to better describe the gravitational model, but it is not necessarily necessary, as the gravitational model can also be described directly in exponential form. The gravitational model, also known as the universal model of gravity, is a new theory of gravity proposed by physicist Galileo in 1687, stating that all objects have a gravitational pull on each other.