Clarke, club president of CARE, said his interest is transmitting using LP or “low power” apparatus. John Laybourne, vice president of the Rogue Valley Amateur Radio Club, used a high-power 10,000 watt setup needing a gas-powered generator for the off-the-grid event.

Source: In era of Wi-Fi and LTE, ham radio enthusiasts don’t mind a challenge | The Columbian
Depending on license class, band and geographic location, the limits are 5 watts, 50 watts, 200 watts or 1,500 watts peak-envelope-power, not 10,000 watts. See FCC Regulations 97.313.  I suspect the reporter confused the use of a 10 kw gasoline generator’s maximum output capability with a transmitter’s output and no one bothered to fact check the story.