First off, you need to be clear what exactly you mean by advantages. People have argued the relative benefits of trees vs. logistic regression in the context of interpretability, robustness, etc.

David Muchlinski, David Siroky, Jingrui He, Matthew Kocher, Comparing Random Forest with Logistic Regression for Predicting Class-Imbalanced Civil War Onset Data, Political Analysis, Vol. 24, No. 1 ...

Tadikamalla and Johnson [Biometrika 69 (1982) 461–465] developed the LB distribution to variables with bounded support by considering a transformation of the standard Logistic distribution. In this ...