[branch-2.1](partial update)add logs for partial update

[zhannngchen]

Proposed changes

Issue Number: close #xxx

add logs for partial update

Further comments

If this is a relatively large or complex change, kick off the discussion at [email protected] by explaining why you chose the solution you did and what alternatives you considered, etc...

[doris-robot]

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[github-actions[bot]]

clang-tidy review says "All clean, LGTM! :+1:"

[github-actions[bot]]

clang-tidy review says "All clean, LGTM! :+1:"