(2) Division (C)(2) of this section applies only to a convention facilities authority located in a county with a population, according to the 2000 federal decennial census, of at least one hundred thirty-five thousand and not more than one hundred fifty thousand and containing entirely within its boundaries the territory of a municipal corporation with a population according to that census of more than fifty thousand. The board of directors of such a convention facilities authority, by resolution adopted on or before November 1, 2009, may levy within the territory of the authority an excise tax on transactions by which lodging by a hotel is or is to be furnished to transient guests at a rate not to exceed three per cent on such transactions for the same purposes for which a tax may be levied under division (B) of this section. The resolution may be adopted only if the board of county commissioners of the county, by resolution, authorizes the levy of the tax. The resolution of the board of county commissioners is subject to referendum as prescribed by sections 305.31 to 305.41 of the Revised Code. If, pursuant to those procedures, a referendum is to be held, the board's resolution does not take effect until approved by a majority of electors voting on the question. The convention facilities authority may adopt the resolution authorized by division (C)(2) of this section before the election, but the authority's resolution shall not take effect if the board of commissioners' resolution is not approved at the election. A tax levied under division (C)(2) of this section is in addition to any tax levied under section 5739.09 of the Revised Code. The board of directors of a convention facilities authority that levies an excise tax under division (C)(2) of this section may, by resolution adopted by a majority of the members of the board on or before November 1, 2021, amend the resolution levying the tax to increase the rate of the tax by not more than an additional one per cent on each transaction. The resolution shall provide that all revenue from the increase in rate shall be used for the same purposes for which a tax may be levied under division (B) of this section. The resolution may be adopted only if the board of county commissioners of the county, by resolution, authorizes the rate increase.