解方程 log2(x^2-3)=2log4(6x-10)-1

问题描述:

解方程 log2(x^2-3)=2log4(6x-10)-1

log2(x^2-3)=log4(6x-10)^2-log4(4)
x^2-3=(6x-10)^2/4
4x^2-12=36x^2-120x+100
4x^2-15x+14=0
(4x-7)(x-2)=0
x1=7/4,x2=2