Who produced Madonna's album "Like a Virgin"?

"Like a Virgin" is the second studio album by American singer and songwriter Madonna, released on November 12, 1984, by Sire Records. Following the success of her self-titled debut album, Madonna wanted to become the record producer of her next album. However, her label was not ready to give her the artistic freedom and she chose Nile Rodgers instead to produce the album due to his work with David Bowie. Madonna wrote six songs on the record, five of which feature Steve Bray as a co-writer. The album was recorded at Power Station Studio in New York at a quick pace. Rodgers enlisted the help of his former Chic bandmates Bernard Edwards, who was the bassist, and Tony Thompson, who played the drums. Jason Corsaro, the record's audio engineer, persuaded Rodgers to use digital recording, a new technique introduced at that time.

Nile Gregory Rodgers (born September 19, 1952) is an American record producer, songwriter, musician, composer, arranger and guitarist. The co-founder of Chic, he has written, produced, and performed on records that have cumulatively sold more than 500 million albums and 75 million singles worldwide. He is a Rock and Roll Hall of Fame inductee, a three-time Grammy Award-winner, and the chairman of the Songwriters Hall of Fame. Known for his "chucking" guitar style, Rolling Stone wrote in 2014 that "the full scope of Nile Rodgers' career is still hard to fathom."