The Rent Control Law provides the Board with the following powers and duties: to set rent ceilings for all controlled rental units; to require registration of all controlled rental units (§ 1803(q)); to establish a base rent ceiling (§ 1804(b)); to make adjustments to the rent ceiling (§ 1805); to set rents at fair and equitable levels to achieve the intent of the Rent Control Law; to hire and pay necessary staff to issue orders, rules and regulations, conduct hearings, and charge fees; to make studies, surveys, and investigations, conduct hearings, and obtain information necessary to carry out its powers and duties; to report annually to the City Council of the City of Santa Monica on the status of controlled rental housing; to remove rent controls *43(§ 1803(r))14 ; to issue permits for removal of controlled rental units from the rental housing market (§ 1803(t)); to administer oaths and affirmations and subpoena witnesses; to establish rules and regulations for deducting penalties and settling civil claims (§ 1809); to refer violations of the Rent Control Law to appropriate authorities for criminal prosecution; to *388seek injunctive and other civil relief (§ 1811); and to charge and collect registration fees, including late payment penalties. (§ 1803(f).) Furthermore, the Board "shall issue and follow such rules and regulations, including those which are contained in this Article, as will further the purposes of the Article." (§ 1803(g).) None of these listed powers and duties authorize the Board to create categories of rental properties that are exempt from rent control.