一題LOG唔識急問..(logX)^2-logx^5+6=0

(logx)^2-logx^5+6=0
(logx)^2-5logx+6=0
let logx be y
y^2-5y+6=0
(y-3)(y-2)=0
y=3 or 2
logx=3 or 2
x=1000 or 100

(logX)^2-logx^5+6=0
(logX)^2-5logx+6=0

(logX-3)(logX-2)=0

so

X=100 or 1000