acknowledge · verb T /əkˈnɑl.ɪdʒ/
acknowledge (ACCEPT)
C1 to accept that something is true or exists
Dictionary example:
He acknowledged that there was a problem.
Learner example:
Therefore, the most important lesson to learn is to acknowledge the necessity of education and t[o] strive to make it happen. (Certificate in Advanced English; C1; Polish)
acknowledge (SAY RECEIVED)
C1 to say, usually in writing, that you have received something that someone sent you
Dictionary example:
He sent a letter acknowledging receipt of her application.
Learner example:
Please could you acknowledge the rec[e]ipt of this letter. (Certificate in Advanced English; C1; Lithuanian)