log4 (x+3)+log(1/4) (x-3)=log(1/4) (x-1)+log4 (2x+1)的解集,
问题描述:
log4 (x+3)+log(1/4) (x-3)=log(1/4) (x-1)+log4 (2x+1)的解集,
答
x=3±2√3
答
log4(x+3)+log(1/4)(x-3)=log(1/4)(x-1)+log4(2x+1)log4(x+3)-log4(2x+1)=log(1/4)(x-1)-log(1/4)(x-3)log4(x+3)/(2x+1)=log(1/4)(x-1)/(x-3)log4(x+3)/(2x+1)=log4(x-3)/(x-1)(x+3)/(2x+1)=(x-3)/(x-1)(2x+2)(x-3)=...