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2006-11-06 1:30 am
without using calculator,, evaluate:

(log 2)^2 + (log 5)^2 + log 5 x log 4
更新1:

我唔明 (log2)^2 + (log5)^2 + 2log5log2 跟着點解等於 [log2 + log5]^2 ?? thx

回答 (1)

2006-11-06 2:01 am
✔ 最佳答案
(log 2)^2+(log 5)^2+log5 x log 4
=(log 2)^2+(log 5)^2+log 5 log 2^2
=(log 2)^2+(log 5)^2+2 log 5 log 2
=(log 2+log 5)^2
=[log(2 x 5)]^2
=(log 10)^2
=1^2
=1

Because (a+b)^2=a^2+2ab+b^2


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