設(shè)a,b,c為不等于1的正數(shù)是a的x=b的y=c的z，1/x+1/y+1/z=0，求abc的值
熱心網(wǎng)友
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
設(shè)a,b,c為不等于1的正數(shù)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