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Dear Mr. Growney,
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 log of the USS New Mexico (BB-40) for September 2, 1945. For access to and/or copies of this log, please contact the National Archives at College Park - Textual Reference (RDT2) via email at email@example.com.
We also located the World War II War Diaries, Other Operational Records and Histories, ca. 1/1/1942 - ca. 6/1/1946 in the records of the Office of the Chief of Naval Operations (Record Group 38) which include the New Mexico’s War Diary for September 1945. This record has been digitized and can be viewed online through the Catalog.
We hope this information is helpful. Best of luck with your research!