推 rey9810 : 謝謝 12/16 18:27
※ 引述《rey9810 (RaY)》之銘言:
: 卡了3題 第二題好像有3次公式的影子?
: 感謝幫忙!!!
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: Sent from JPTT on my LGE LG-H788.
騙點 P 幣
3. a = log(8/7) = 3log 2 - log 7
b = log(50/49) = log(100/98) = 2 - log 2 - 2log 7
2a b 2
所以聯立解得 log 2 = ---- - --- + ---
7 7 7
a 3b 6
log 7 = - --- + ---- + ---
7 7 7
log √14 (log 2 + log 7)/2 a - 4b + 8
得 log √14 = ----------- = ---------------------- = ---------------
8 log 8 3log 2 12a - 6b + 12
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