Log(2)^2x- 3log(2)x+2=0

Question

Log(2)^2x- 3log(2)x+2=0

Answer 1

A) log_2^2(x)-3log_2(x)-4=0, log_2(x)=t
t^2-3t-4=0, t=4, t=-1
1) log_2(x)=4, x= 2^4=16
2) log_2(x)= -1, x=2^-1=1/2=0,5