what makes this an inverse

If logic is not easy then many students take this course

This is not an inverse statement.

An inverse statement is a statement where the original condition is negated and the conclusion is also negated. For example:

Original statement: If it is raining, then the ground is wet.
Inverse statement: If it is not raining, then the ground is not wet.

In the given statement, there is no condition and conclusion that are both negated. It is a conditional statement that states that if logic is difficult, then many students take this course.