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The boxing legend stopped McGregor in the 10th round to notch up his 50th professional career win.
Mayweather retired from professional boxing after the McGregor bout, but he has since competed in exhibition fights against Tenshin Nasukawa and Logan.
The former five-weight world champ went the full distance against Logan in their clash at the Hard Rock Stadium in Miami, Florida, earlier this month.
Mayweather was criticised for failing to score a knockout against the 26-year-old YouTuber, despite dominating him in their pay-per-view fight.
Jake, 24, has now claimed that his older brother outshone McGregor when it came to his performance against Mayweather.
Speaking on the Impaulsive podcast, he said: "Either way, you did better than Conor McGregor against Floyd Mayweather."
The post-fight stats from Logan vs Mayweather revealed that the boxing legend landed fewer jabs and power punches against his opponent than he did with McGregor.
McGregor proved more accurate against Mayweather than Logan as he threw and connected with more shots.
However, the 32-year-old Irishman did have two extra rounds over Logan in his mega-fight with Mayweather.
Jake has dismissed the punching stats from Logan vs Mayweather after pointing to the statistics from his fight with Nate Robinson.
The YouTuber-turned-boxer, who holds a 3-0 boxing record, knocked out the former NBA star in the second round of their fight in November 2020.
Jake hit out at the stats by claiming that Robinson "didn't hit me once" during their clash on the Mike Tyson vs Roy Jones Jr undercard.
"I saw a lot of people posting the stats. Like the side-by-side, punching stats, no, no, no, pause," he said.
"It made you look like you didn't do as good as people thought, right?
"But, in the Jake Paul vs Nate Robinson fight when they posted the side-by-side stats, the stats said that he hit me like eight times, and I only hit him like four times.
"Bro, so f**k those f*****g stats. Whoever's counting that s**t is a f*****g idiot.
"Nate Robinson didn't hit me once, and I hit him dozens of times and knocked him down to the ground three times. So, how could I only have hit him four times?"
Featured Image Credit: PA/Impaulsive
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