Mich. Comp. Laws § 3.171
To the extent another jurisdiction is not fully reciprocal as to taxes or fees on vehicles in international or interstate commerce, the board may make a limited agreement with the jurisdictions covering only part of the fees, taxes and charges otherwise applicable, or the board may require the owners or operators of the foreign registered vehicles to pay a tax in an amount equal to the tax of whatever character assessed by the other jurisdiction against vehicles registered in this state and operated in international or interstate commerce in that jurisdiction. Owners or operators of foreign registered vehicles which are subject to registration under the provisions of this section shall make application for a permit in which shall be set forth the conditions for operation of the vehicles in this state. The board may examine the laws of other jurisdictions and determine what taxes or fees shall be payable to this state by the owners or operators of foreign registered vehicles.
MCL 3.171