What kind of data (in context of trends in data) is Logistic Regression appropriate for?
As you would be aware that, logistic regression is a standard linear model, following these steps would be helpful :

Plot the input data, just observe how would probably the decision boundary look like.
If it's completely non-linear then other models will give you a good result than logistic regression.
If there is a high chance of linearity possible then you can go with logistic regression