Dear Mr. Clark,
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 Charleston (LKA-113) for 1975 through 1979.
The deck logs for 1975 though 1978 are closed for digitization. Please see the blog CLOSED - Vietnam War-era U.S. Navy & Coast Guard Deck Logs for Digitization Project for more information. National Archives staff are currently working to refile deck logs that have been digitized under this project. When these records are reopened we will post a follow-up reply. We regret any inconvenience this may cause you.
For access to and/or copies of the 1979 log, please contact the National Archives at College Park - Textual Reference (RDT2) via email at firstname.lastname@example.org.
We hope this information is helpful.