SQL Server trigger on insert,delete & update on table

Question

I have a table Product and another table ProductLog.

The log table needs to track two columns in the Product table. Each time

Answer 1

or just

DECLARE @type CHAR(1)=
    case when not exists(SELECT * FROM inserted)
        then 'D'
    when exists(SELECT * FROM deleted)
        then 'U'
    else
        'I'
    end