SQL Query Help Truncating Date TimeStamp for Query

I need to write a query that will return a distinct InputText (address) for a distinct DAY, which in our database is denoted by column log time.
Our log time column appends a time stamp to the date which is becoming problematic

This query

SELECT Distinct InputText, LogTime  FROM dbo.Log Where FnctName = 'blah' and UserName ='blah' And LogTime >'2010-12-31'

Returns the following results listed below

I need a way to truncate the log time to get rid of the time feature so that this result just returns
one unique look up a day so that this:

InputText                                                  Log Time
Address: 1 ARABIAN RD, Zip: 98862      2011-07-15 08:52:27.000
Address: 1 ARABIAN RD, Zip: 98862      2011-07-15 08:56:25.000

Becomes this
Address: 1 ARABIAN RD, Zip: 98862      2011-07-15