The Kings took a 1-0 lead at 14:41 of the first period when Tyler Toffoli had a takeaway in the defensive zone, broke the other way, and left Ben Harpur off balance with his puck-handling before passing to Pearson in the slot.
Duchene tied it 1-1 at 16:24, with Ottawa scoring for the first time in three games, since the third period of a 6-5 win against the New York Rangers on Dec. 1; they had been shutout in each of their past two games.
Duchene, who scored his second goal in 13 games with the Senators after being acquired from the Colorado Avalanche in a three-team trade on Nov. 5, admitted he had been trying to do too much.
"It's tough to do in times like this and I think we're all suffering from it a little bit, so obviously nice to get that one early on the power play," said Duchene, who also had an assist. "There's lots of really good things to build on tonight and that's the next step is building on it now and not hanging our heads and being too disappointed."
Iafallo put the Kings in front 2-1 with a wrist shot under Condon's glove at 5:18 of the second period for his second NHL goal. The Senators scored at 8:08 to tie the game at 2-2 when Pageau scored off a rebound of a shot by Harpur.
Los Angeles, which lost seven of eight (1-6-1) prior to the winning streak, leads the Western Conference with 41 points.
"It means that we're going to have a target on our back, so we have to learn how to play with that," Brown said.
