After looking into into the same folder on my server, it seems my problems started with the 3.0.13 upgrade.  Here's a dump from that log:

System.Data.SqlClient.SqlException: Column names in each table must be unique. Column name 'Email' in table 'dbo.Users' is specified more than once.
   at System.Data.SqlClient.SqlCommand.ExecuteNonQuery()
   at Microsoft.ApplicationBlocks.Data.SqlHelper.ExecuteNonQuery(SqlConnection connection, CommandType commandType, String commandText, SqlParameter[] commandParameters)
   at Microsoft.ApplicationBlocks.Data.SqlHelper.ExecuteNonQuery(String connectionString, CommandType commandType, String commandText, SqlParameter[] commandParameters)
   at Microsoft.ApplicationBlocks.Data.SqlHelper.ExecuteNonQuery(String connectionString, CommandType commandType, String commandText)
   at DotNetNuke.Data.SqlDataProvider.ExecuteScript(String Script, Boolean UseTransactions)


ALTER TABLE dbo.Users ADD
    Email nvarchar(256) NULL


System.Data.SqlClient.SqlException: Cannot drop the procedure 'dbo.AddUser', because it does not exist in the system catalog.
   at System.Data.SqlClient.SqlCommand.ExecuteNonQuery()
   at Microsoft.ApplicationBlocks.Data.SqlHelper.ExecuteNonQuery(SqlConnection connection, CommandType commandType, String commandText, SqlParameter[] commandParameters)
   at Microsoft.ApplicationBlocks.Data.SqlHelper.ExecuteNonQuery(String connectionString, CommandType commandType, String commandText, SqlParameter[] commandParameters)
   at Microsoft.ApplicationBlocks.Data.SqlHelper.ExecuteNonQuery(String connectionString, CommandType commandType, String commandText)
   at DotNetNuke.Data.SqlDataProvider.ExecuteScript(String Script, Boolean UseTransactions)


drop procedure dbo.AddUser


System.Data.SqlClient.SqlException: Cannot drop the procedure 'dbo.UpdateUser', because it does not exist in the system catalog.
   at System.Data.SqlClient.SqlCommand.ExecuteNonQuery()
   at Microsoft.ApplicationBlocks.Data.SqlHelper.ExecuteNonQuery(SqlConnection connection, CommandType commandType, String commandText, SqlParameter[] commandParameters)
   at Microsoft.ApplicationBlocks.Data.SqlHelper.ExecuteNonQuery(String connectionString, CommandType commandType, String commandText, SqlParameter[] commandParameters)
   at Microsoft.ApplicationBlocks.Data.SqlHelper.ExecuteNonQuery(String connectionString, CommandType commandType, String commandText)
   at DotNetNuke.Data.SqlDataProvider.ExecuteScript(String Script, Boolean UseTransactions)


drop procedure dbo.UpdateUser