He finished his secondary education in Kristianssand in 1869 and graduated as cand.jur. in 1873. He worked as a law clerk for the district stipendiary magistrate of Nordmøre from 1874, and was hired as a lawyer in 1876. In 1882 he started his own law firm, and gained access to Supreme Court cases. He was a presiding judge in Borgarting from 1902, having held the position on a non-permanent basis since 1895. Parallel to this he had worked in the Office of the Auditor General of Norway.[1] From 1898 to 1923, the year of his death, he chaired this office as Auditor General of Norway.[3]
He was a member of Kristiania city council for an unknown period. He served as a deputy representative to the Norwegian Parliament during the terms 1892–1894 and 1904–1906, representing the constituency of Kristiania, Hønefoss og Kongsvinger. From 1904 to 1905 he met as a regular representative, covering for Francis Hagerup who was Prime Minister. Vogt was also a member of public committees, including a "Commission on treatment of dangerous lunatics".[1]
Svend Borchman Hersleb Vogt had several children.[4]