FamilySearch has provided the full Tennessee Slave Census for 1850 as both a searchable index and browsable images.

The collection description states

Name index and images of slave schedules listing slave owners and only age, gender and color data of the slaves in census states or territories in 1850. This was the first time that slave information was captured as a separate schedule. Indexed data and browse are available for the following: Alabama, Arkansas, Delaware, District of Columbia, Florida, Georgia, Kentucky, Louisiana, Maryland, Mississippi, Missouri, New Jersey, North Carolina, South Carolina, Tennessee, Texas, Utah, and Virginia. Slave schedules are not available for other states.

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The FamilySearch Wiki page for the 1850 Slave Census contains background information and research tips.  Click here to view the page.