From acknowledge - Definitions from Dictionary.com on synonyms:
Originally Posted by jiang
Acknowledge implies making a statement reluctantly, often about something previously denied: to acknowledge a fault. Admit especially implies acknowledging something under pressure: to admit a charge. Confess usually means stating somewhat formally an admission of wrongdoing, crime, or shortcoming: to confess guilt; to confess an inability to understand.
The following is from the same source:
All the best.
Synonyms: These verbs mean to admit the reality or truth of something, often reluctantly.
To acknowledge is to accept responsibility for something one makes known: He acknowledged his mistake.
Admit implies reluctance in acknowledging one's acts or another point of view: "She was attracted by the frankness of a suitor who . . . admitted that he did not believe in marriage" (Edith Wharton).
Own stresses personal acceptance and responsibility: She owned that she feared for the child's safety.
Avow means to assert openly and boldly: "Old Mrs. Webb avowed that he, in the space of two hours, had worn out her pew more . . . than she had by sitting in it forty years" (Kate Douglas Wiggin).
Confess usually emphasizes disclosure of something damaging or inconvenient to oneself: I have to confess that I lied to you.
To concede is to intellectually accept something, often against one's will: The lawyer refused to concede that the two cases had similarities.