數學 指數對

2011-07-06 7:47 am
(2log2,3)成(log3,4耕號2)=5 怎嚜算的~ 請數學達人幫我解答

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回答 (1)

2011-07-06 7:59 am
✔ 最佳答案
2log23x log34√2

= (2log3/log2) x [(log4√2)/log3]

= (2/log2) x log(2^2 x 2^(1/2)

= (2/log2) x log2^(5/2)

= (2/log2) x (5/2)log2

= 2 x (5/2)

= 5
參考: Tsui


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