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参考・概略です

 x=k から,逆数を考え,3倍
  1/x=1/k 
  3/x=3/k ・・・ ①

 ylog₂3=k から,両辺に(k/y)をかけて,2倍
  log₂3/k=1/y
 2・log₂3/k=2/y ・・・ ②

 ①,②から
  3/x+2/y=3/k+2・log₂3/k

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