5. Since there are two statement variables, the truth table will have 4 rows.
| p | q | ~q | p V q | p L ~q | (p V q) L ~q | ||
| T | T | F | T | F | F | ||
| T | F | T | T | T | T | ||
| F | T | F | T | F | F | ||
| F | F | T | F | F | F |
Since columns 5 and 6 have identical truth values, the statements forms p L ~q and (p V q) L ~q are logically equivalent.