對數問題 http://i707.photobucket.com/albums/ww74/stevieg90/IMG_6180_zpsqcv9l5ox.jpg?

2016-03-18 4:15 pm

回答 (1)

2016-03-22 1:52 pm
            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

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