What do we mean by constant-time versus log-time?

Can any one help in understanding that.
1) HashSet is much faster than TreeSet ( constant-time versus log-time for most operations ).
I am unable to understant this constant-time versus log-time.

[http://en.wikipedia.org/wiki/Big_o_notation]
It means that most operations on HashSet operate in O(1) time--they take about the same amount of time no matter how many elements are present--but operations on TreeSet go like O(log n) time--the increase as the log of the number of elements.
[http://en.wikipedia.org/wiki/Big_o_notation]

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What do we mean by constant-time versus log-time?

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