Question: What is the seat of the county that is home to the Mahogany Mountains?

full_context: Document 1: Clark County, Nevada: Clark County is a county in the U.S. state of Nevada. As of the 2010 census, the population was 1,951,269, with an estimated population of 2,114,801 in 2015. It is by far the most populous county in Nevada, accounting more than two-thirds of its residents. Las Vegas, Nevada's most populous city, has been the county seat since the county was established.
Document 2: Snake Range: The Snake Range is a mountain range in White Pine County, Nevada, United States. The south-central portion of the range is included within Great Basin National Park, with most of the remainder included within the Humboldt-Toiyabe National Forest. The range reaches a maximum elevation of 13065 ft at the summit of Wheeler Peak, the tallest independent mountain within Nevada and the second highest point within the state (the highest point being Boundary Peak). The range also contains four of the five highest mountain peaks in Nevada, including all peaks greater than 12000 ft except for Boundary Peak.
Document 3: Elko County, Nevada: Elko County is a county in the northeastern corner of the U.S. state of Nevada. As of the 2010 census, the population was 48,818. Its county seat is Elko. The county was established on March 5, 1869, from Lander County.
Document 4: Rachel, Nevada: Rachel is a census-designated place (CDP) in Lincoln County, Nevada, United States. As of the 2010 census it had a population of 54. As the closest habitation to the Nellis Air Force Range and Area 51, Rachel enjoys a modest celebrity, particularly among aviation enthusiasts and UFO hunters. North of the town is the Quinn Canyon Range, which has the ghost town of Adaven.
Document 5: Granite Range (Washoe County): The Granite Range is a mountain range in Washoe County, Nevada west of the town of Gerlach and the lower Black Rock Desert playa.
Document 6: Denio, Nevada: Denio is a census-designated place (CDP) that lies on the Nevada-Oregon state line in Humboldt County, Nevada, in the United States. There was formerly a Denio post office north of the state line in Harney County, Oregon. The population of the CDP, which is entirely in Nevada, was 47 at the 2010 census; additional development considered to be Denio extends into Oregon. The CDP includes a post office, a community center, a library, and the Diamond Inn Bar, the center of the town's social life. Recreational activities available in the Denio area include fishing, opal mining, rockhounding, hunting, and visiting the hot springs. The Humboldt County School District operates the Denio School, a kindergarten-eighth grade (K-8) school, on the Nevada side of the state line.
Document 7: Lincoln County, Nebraska: Lincoln County is a county located in the U.S. state of Nebraska. As of the 2010 census, the population was 36,288. Its county seat is North Platte. Despite the county's name, the state capital city of Lincoln is not located in or near Lincoln County.
Document 8: Toquima Range: The Toquima Range is a mountain range, located primarily in Nye County with a small extension into Lander County, in Nevada, United States. Most of the range is included within the Humboldt-Toiyabe National Forest. The range reaches a maximum elevation of 11,949 feet (3,642 m) at the southern summit of Mount Jefferson. From Hickison Summit on U.S. Route 50, the range runs for approximately 71 miles (115 km) to the south-southwest. To its west are Big Smoky Valley, scenic State Route 376, and the large Toiyabe Range. To the east are remote Monitor Valley and the Monitor Range. Lying to the south of the range are U.S. Route 6 (Nevada) and the community of Tonopah, while to the north is U.S. Route 50 ("The Loneliest Highway in America"), leading to the small community of Austin.
Document 9: Montgomery Peak: Montgomery Peak is a mountain in the White Mountains of California, USA. It is less than 1 mi from Boundary Peak, the highest point in Nevada; and it is taller than Boundary Peak. Boundary Peak has a prominence of less than 300 feet. Montgomery can be climbed in combination with Boundary Peak. The two peaks are in the Inyo National Forest and White Mountains Wilderness. Montgomery Peak is in Inyo County (California), and Boundary Peak is in Esmeralda County, in Nevada.
Document 10: Lincoln County, Nevada: Lincoln County is a county located in the U.S. state of Nevada. As of the 2010 census, the population was 5,345. Its county seat is Pioche.
Document 11: Mount Moriah Wilderness: The Mt. Moriah Wilderness is a 89790 acre wilderness area in the northern part of the Snake Range of White Pine County, in the eastern section of the state of Nevada in the western United States.
Document 12: Mahogany Mountains: The Mahogany Mountains are a mountain range located on the Nevada-Utah border, located in Lincoln County, Nevada and Iron County, Utah.
Document 13: Lincoln County, Kansas: Lincoln County (standard abbreviation: LC) is a county located in the U.S. state of Kansas. As of the 2010 census, the county population was 3,241. The largest city and county seat is Lincoln Center.
Document 14: Mount Moriah (Nevada): Mount Moriah is a 12072 ft mountain in the northern Snake Range of eastern White Pine County, Nevada, United States. It is the fifth-highest mountain in the state, and also ranks as the ninth-most topographically prominent peak in the state. It is located in the Mount Moriah Wilderness administered by the Humboldt-Toiyabe National Forest.
Document 15: Nevada County, Arkansas: Nevada County is a county located in the U.S. state of Arkansas. As of the 2010 census, the population was 8,997. The county seat is Prescott. Nevada County is Arkansas's 63rd county, formed on March 20, 1871, from portions of Hempstead, Ouachita and Columbia Counties. It was named after the state of Nevada because of the perceived similarity between their physical shapes; the Arkansas county's shape roughly follows the same outline as the state's boundary when inverted. In contrast with the name of the state, the local pronunciation for the southwestern Arkansas county is "nuh-VAY-duh". It is an alcohol prohibition or dry county.
ground_truth: Pioche