Dear Ms. Banducci,
Thank you for posting your request on History Hub!
We searched the National Archives Catalog and located the Logbooks of U.S. Navy Ships and Stations, 1941 - 1983 in the Records of the Bureau of Naval Personnel (Record Group 24) that include the deck logs of the USS Gridley (DLG-21) for December 1970. For access to and/or copies of these records, please contact the National Archives at College Park - Textual Reference (RDT2) via email at email@example.com.
We hope this information is helpful. Best of luck with your research!