(急!!) F.4 maths log

2010-08-10 2:56 am
if x^2+y^2=-xy, show that log(x+y)=1/2(logx+logy)

thx!

回答 (1)

2010-08-10 4:10 am
✔ 最佳答案
x^2+y^2=-xy
(x+y)^2-2xy=-xy
(x+y)^2=xy

Take log on both sides,
log[(x+y)^2]=logxy
2log(x+y)=logx+logy
log(x+y)=(1/2)(logx+logy)


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