對數問題 http://i707.photobucket.com/albums/ww74/stevieg90/IMG_6180_zpsqcv9l5ox.jpg?
回答 (1)
2014
x = ────────────────────────────────
(√2015 + 1)(∜2015 + 1)(⁸√2015 + 1)(¹⁶√2015 + 1)
2014(¹⁶√2015 - 1)
= ────────────────────────────────────────
(√2015 + 1)(∜2015 + 1)(⁸√2015 + 1)(¹⁶√2015 + 1)(¹⁶√2015 - 1)
2014(¹⁶√2015 - 1)
= ───────────────────────────────
(√2015 + 1)(∜2015 + 1)(⁸√2015 + 1)(⁸√2015 - 1)
2014(¹⁶√2015 - 1)
= ───────────────────────
(√2015 + 1)(∜2015 + 1)(∜2015 - 1)
2014(¹⁶√2015 - 1)
= ───────────────
(√2015 + 1)(√2015 - 1)
2014(¹⁶√2015 - 1)
= ────────────
2014
= ¹⁶√2015 - 1
2015ⁿ = (x + 1)²º¹⁶ = ¹⁶√2015 ²º¹⁶ = 2015¹²⁶ ⇒ n = 126
收錄日期: 2021-04-11 21:25:00
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20160318081548AAG4HOr
檢視 Wayback Machine 備份