已知x^2+y^2=1,x>0,y>0,且log(a)(1+x)=m,log(a)(1/1-x)=n,则log(a)y等于?A m+n B m-nC 1/2(m+n)D 1/2(m-n)...

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已知x^2+y^2=1,x>0,y>0,且log(a)(1+x)=m,log(a)(1/1-x)=n,则log(a)y等于?A m+n B m-nC 1/2(m+n)D 1/2(m-n)...

已知x^2+y^2=1,x>0,y>0,且log(a)(1+x)=m,log(a)(1/1-x)=n,则log(a)y等于?A m+n B m-nC 1/2(m+n)D 1/2(m-n)...
已知x^2+y^2=1,x>0,y>0,且log(a)(1+x)=m,log(a)(1/1-x)=n,则log(a)y等于?
A m+n
B m-n
C 1/2(m+n)
D 1/2(m-n)
...

已知x^2+y^2=1,x>0,y>0,且log(a)(1+x)=m,log(a)(1/1-x)=n,则log(a)y等于?A m+n B m-nC 1/2(m+n)D 1/2(m-n)...
D
loga(1+x)=m
loga(1/(1-x))=-loga(1-x)=n
两式相减,得loga(1+x)(1-x)=loga(1-x^2)=loga(y^2)=2loga(y)=m-n
得loga(y)=(m-n)/2