Australian fly-half James O'Connor finished a jinking run with a try in the very last play of the first half, to narrow the scoreline to 19-10.
The Lions lead at the break thanks to Alex Corbisiero's early try, and 14 points from the boot of Leigh Halfpenny.
Australia could have been ahead, but turned down five opportunities to kick penalties for goal in the first period.
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Outbreaks of light rain or drizzle expected around the coast and hills.
Mike and Cynthia from Ystradgynlais flew out to the German city for a weekend away.
Fine and dry at first but becoming largely cloudy with outbreaks of rain or drizzle.