Verified answer

log₂²(x²)-8log₂(4x)+16=0;

log₂²(x²)-8log₂(4x)+16=0;

log₂(x²)*log₂(x²)-8(log₂4+log₂x)+16=0;

2log₂x*2log₂x-8(log₂4+log₂x)+16=0;

4log₂²x-8(2+log₂x)+16=0;

4log₂²x-16-8log₂x+16=0;

log₂²x-2log₂x=0;

log₂x(log₂x-2)=0;

log₂x=0; x=1;

log₂x=2; x=4;