设a,b,c为不等于1的正数是a的x=b的y=c的z,1/x+1/y+1/z=0,求abc的值
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a^x = b^y = c^z = k== 1/x = lgx/lgk, 1/y = lgb/lgk, l/z = lgc/lgk== 0 = 1/x +1/y +1/z = (lga +lgb +lgc)/lgk = lg(abc)/lgk== lg(abc) = 0== abc = 1
设a,b,c为不等于1的正数是a的x=b的y=c的z,1/x+1/y+1/z=0,求abc的值
a^x = b^y = c^z = k== 1/x = lgx/lgk, 1/y = lgb/lgk, l/z = lgc/lgk== 0 = 1/x +1/y +1/z = (lga +lgb +lgc)/lgk = lg(abc)/lgk== lg(abc) = 0== abc = 1