1. **State the problem:** We want to find the logical equivalence of the expression $$(p \Rightarrow q) \wedge (\neg p \vee q).$$ 2. **Recall the implication equivalence:** The implication $p \Rightarrow q$ is logically equivalent to $\neg p \vee q$. 3. **Substitute the equivalence:** Replace $p \Rightarrow q$ with $\neg p \vee q$ in the expression: $$ (p \Rightarrow q) \wedge (\neg p \vee q) \equiv (\neg p \vee q) \wedge (\neg p \vee q). $$ 4. **Simplify the expression:** Since both parts are identical, the conjunction simplifies to: $$ (\neg p \vee q) \wedge (\neg p \vee q) \equiv \neg p \vee q. $$ 5. **Conclusion:** The original expression is logically equivalent to $\neg p \vee q$, which is also equivalent to $p \Rightarrow q$. **Final answer:** $$ (p \Rightarrow q) \wedge (\neg p \vee q) \equiv \neg p \vee q \equiv p \Rightarrow q. $$