Log-periodic antennas have a very wide bandwidth. One designed for TV would not work at HF, but it may very well work on 2 meters, 6 meters, and some UHF amateur bands.
I suggest that you measure the SWR and see. However, unless its impedance is 50 to 75 ohms, you will need a suitable matching device.
Can you post photos of it? While you're at it, include the minimum and maximum lengths of the elements.
Countless hams have used TV log-periodic antennas on the ham bands, and with little or no modifications.