The word "access" can mean the means or opportunity to approach, enter, or make use of something. Some synonyms for "access" are:
Entry: This implies the act of coming or going in. For example, "The secret door provided a hidden entry to the chamber." Like access, entry emphasizes the way into a particular place or situation.
Approach: It can refer to the way of coming near or getting close to something. For instance, "They found a new approach to the problem." Approach can also suggest a way of dealing with or thinking about something, similar to how access can imply a means of reaching or understanding.
Admittance: This word specifically indicates permission to enter or gain access. For example, "Only those with proper credentials were granted admittance." Admittance is more formal and often associated with permission being granted.
In conclusion, these synonyms for "access" all convey the idea of getting to or being able to use something. Whether it's through entry, approach, or admittance, they offer different ways of expressing the concept of having access to a particular place, opportunity, or resource.