x^(lgx)=1000x^2
问题描述：
x^(lgx)=1000x^2
答
两边同时取常用对数lg ( x ^ lgx ) = lg ( 1000 x² )lgx * lgx = lg1000 + lgx²(lgx)² = 3 + 2lgx(lgx)² - 2lgx - 3 = 0(lgx+1)(lgx - 3) = 0lgx = - 1 或 lgx = 3x = 1/10 或 x = 1000...