log4 (x+3)+log(1/4) (x-3)=log(1/4) (x-1)+log4 (2x+1)的解集,

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/09 00:34:25

log4 (x+3)+log(1/4) (x-3)=log(1/4) (x-1)+log4 (2x+1)的解集,
log4 (x+3)+log(1/4) (x-3)=log(1/4) (x-1)+log4 (2x+1)的解集,

log4 (x+3)+log(1/4) (x-3)=log(1/4) (x-1)+log4 (2x+1)的解集,
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)=(x+3)(x-1)
2x2-6x+2x-6=x2+2x-3
x2-6x-3=0
x=3±2√3

x=3±2√3