How can you assert that a fit with one model is lesser fit than a fit with another model? Define 'lesser'?
The best fit is when you have a better R-squared value than any other fits. Excel calculates the best fits for every model automatically, so you can just conclude that a log-linear model has a better fit (0.94) than log-logistic (0.73).
If I am not mistaken, the best R-squared (least error from the data points) would be an N-degree polynomial for N data points such that the curve passes through every point.
Thus 'best fit' may have no correlation to predictive power.