Log2^2x-log2x=log2x+3

Question

Log2^2x-log2x=log2x+3

Answer 1

(log2(2x)^2-log2(x)=log2(x)+3
log2(x)=a  a>0
a^2-a=a+3
a^2=3
a1=√3
a2=-√3 исключаем
log2(x)=√3
x=2^√3