There are exempted from the tax levied by this subpart and from the computation of the amount of the tax levied or payable hereunder the following: Charges for property sold or services furnished which are required to be included in the tax levied by the state sales tax act; charges for the rental of rooms, lodgings, or accommodations furnished by any hospital, nursing home, convalescent home, or by any charitable or eleemosynary institution; charges for the rental of rooms, lodgings, or accommodations to a person for a period of 30 continuous days or more.