Question
Download Solution PDFयदि a, b, c गुणोत्तर श्रेढ़ी में हैं, तब logax x, logbx x और logcx x में हैं
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
यदि a, b, c गुणोत्तर श्रेढ़ी में हैं तब b2 = ac
यदि b - a = c - b, तब a, b, c, AP में हैं।
यदि 1/a, 1/b, 1/c, AP में हैं तब a, b, c, HP में हैं।
गणना:
यदि a, b, c गुणोत्तर श्रेढ़ी में हैं तब b2 = ac
अत: दोनों पक्षों को x2 से गुणा करके और दोनों पक्षों के लघुगणक को आधार x लेकर
अत: logx ax, logx bx और logx cx, AP में हैं।
Last updated on Jun 12, 2025
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