Welsh local authorities are under growing pressure to save money, but they still have greater freedom to raise council tax than in England.
One London borough has gone further, cutting tax by 17 percent since 2006.
Owain Phillips reports.
Adrian Masters and Owain Phillips present Monday's programme from the Liberal Democrat Conference in Glasgow - and the studio in Cardiff.
Adrian Masters and Owain Phillips present Monday's programme from Birmingham and Cardiff.
Political Editor Adrian Masters was joined in the studio by assembly members Bethan Jenkins, Mick Antoniw and Suzy Davies.