The lessee’s interest in all leases made under this part shall be assessed as real estate by the assessing officer of the township, city, or village in which the lands leased may be located, and the levy and collection of taxes so assessed on said lessee’s interest shall be made and collected in the same manner and subject to the law now in force for the levy and collection of taxes upon real estate, and the assessing officers in determining the value of such leasehold interest for taxation purposes shall take into consideration the value of the land together with the improvements on the land.