In a long range microwave communication system operating at 9 GHz, the transmitting and receiving antennas are identical, and they are separated by 10,000 m. To meet the signal-to-noise ratio of the receiver, the received power must be at least 10 µ W. Assuming the two antennas are aligned for maximum reception to each other, including being polarization matched, what should the gain (in dB) of the transmitting and receiving antennas be when the input power to the transmitting antenna is 10 W?