The sports presenter invested thousands into the Icebreaker Management partnership, which was billed as a music industry investment programme.
Following speculation over her involvement in the scheme, Logan has decided to release the following statement: "I was advised about a business opportunity 6 years ago (2008) and I invested in good faith.
"It was explained to me as a way of funding new acts in the music industry. Because of information which came to light in 2012, I decided the investment was not right for me."
She went on to add that she has been "working to resolve the issue" for some time.
"I fully intend to pay any tax which should have been paid, had I not entered the business," she continued.
"I have been completely open and honest with HMRC and I have never hidden anything."
It is not publicly known how much Logan poured into the scheme, although according to reports in The Mirror, she is thought to have joined an Icebreaker partnership called Ivancroft in 2008.
Barlow, along with fellow Take That band members Howard Donald, Mark Owen and their band manager Jonathan Wild, are facing tax bills of £20million.
Logan last hit the headlines when she described tennis champion Andy Murray as "the moodiest most miserable b*****d" she'd ever met.
"I was a big fan,” she told students at Leeds University in March.
"Then at the Olympics he had just won a silver with Laura Robson and he was the moodiest most miserable b****** I've ever met in my life because he only won a silver.
"If I wasn't on live telly I'd have gone 'cheer up'."
Logan later claimed her comments had been taken out of the jovial context of the rest of the speech, which also saw her take a dig at ‘crisp salesman’ Gary Lineker and Paula Radcliffe.