Final answer:
The Law of Equivalence can be used to show that two propositions are logically equivalent.
Step-by-step explanation:
The law that can be used to show that the two propositions are logically equivalent is the Law of Equivalence. This law states that if two statements have the same truth values in all possible cases, then they are logically equivalent.
For example, let's consider the two statements:
Statement A: If it is raining, then the ground is wet.
Statement B: If the ground is wet, then it is raining.
We can use the Law of Equivalence to show that Statement A and Statement B are logically equivalent. By examining all possible cases, we can see that if it is raining, then the ground is wet, and if the ground is wet, then it is raining. Therefore, the truth values of these two statements are the same in all possible cases, making them logically equivalent.