Final answer:
Knowing the capital of Texas would require the use of explicit memory, which is the memory type for facts and information that we can consciously recall and articulate.
Step-by-step explanation:
To determine whether you would need implicit or explicit memory to know the capital of Texas, it's important to understand the difference between these two types of long-term memory. Explicit memory, also known as declarative memory, includes things that we consciously try to remember and can articulate, such as facts and events. Knowing the capital of Texas, which is Austin, would utilize your explicit memory, specifically the subcategory of semantic memory that stores general knowledge and facts about the world.