F4 Maths (Log) Quickly please!

2010-01-18 1:23 am
(log x^4 + log y^2) / log x y^ (1/2)

=?

Ans: 4

What are the steps?

回答 (2)

2010-01-18 1:29 am
✔ 最佳答案
(log x^4 + log y^2) / log x y^ (1/2)
= (4log x + 2log y) / (log x + log y^(1/2))
= (4log x + 2log y) / (log x + (1/2)log y)
= 2(2log x + logy) / (1/2) (2log x + log y)
= 2 / (1/2)
= 4
2010-01-18 1:43 am
(log x^4 + log y^2) / log x y^ (1/2)

=(4logx+2logy)/(logx+1/2logy)

=2(2logx+logy)/(logx+1/2logy)

=2(2logx+logy)/1/2(2logx+logy)

=2/(1/2)

=4
參考: me


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