x log3=y log4=z log12,證明z/x+z/y=1。請教教小弟,列步驟。

2007-12-04 2:30 am
x log3=y log4=z log12,證明z/x+z/y=1。請教教小弟,列步驟。
更新1:

gd.....

回答 (1)

2007-12-04 2:48 am
✔ 最佳答案
x log3=z log12
z/x = log3 / log12 ----------------(1)
y log4=z log12
z/y=log4 / log12---------------(2)
(1)+(2)
z/x+z/y= log3 / log12 + log4 / log12
z/x+z/y=(log 3 +log 4)/log 12
z/x+z/y= log12/log12
z/x+z/y=1


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