a,b,c不=1 且a,b,c是正数,且a^x=b^y=c^z,1/x+1/y+1/z=0求abc的值
问题描述：
a,b,c不=1 且a,b,c是正数,且a^x=b^y=c^z,1/x+1/y+1/z=0求abc的值
a,b,c不=1 且a,b,c是正数,且a^x=b^y=c^z,(1/x)+(1/y)+(1/z)=0求abc的值
答
a^x=b^y=c^z=k
x=logak,y=logbk,z=logck
1/x+1/y+1/z=1/loagzk+1/logbk+1/logzk
=logka+logkb+logkc
=logk(abc)
=0
abc=1