Final answer:
Two formulas that entail each other are indeed logically equivalent, which is stated as true. Logical equivalence means that the formulas lead to the same truth values in every possible scenario.
Step-by-step explanation:
If two formulas entail each other, then they must be logically equivalent. The answer to this question is A. True. To be logically equivalent, two formulas must always lead to the same truth value under every possible interpretation. The property of logical equivalence is crucial in various areas of logic, computer science, and mathematical reasoning where formulas are used to represent expressions or propositions.
An example to illustrate logical equivalence could be the formulas 'P → Q' (if P then Q) and '¬P ∨ Q' (not P or Q). These two are logically equivalent because in both cases, the truth values are the same for every possible truth value assignment of P and Q. Logically equivalent formulas often simplify reasoning and help to discern structural similarities between different expressions.