x^(lg x+2)=1000的解为?

问题描述:

x^(lg x+2)=1000的解为?

x^(lg x+2)=1000
(lg x+2)lgx=lg1000
(lg x)^2+2lgx-3=0
(lgx-1)(lgx+3)=0
lgx-1=0 或lgx+3=0
x=10或x=10^(-3)