Question

log3(x/3)^2 + log^2 3(x/9)=5

Answer 1

2(lg3(x)-1)+(lg(3)x-2)^2-5=0
2lg3(x)-2+4-5-4lg3(x)+lg^23(x)=0
lg3(x)=z
z^2-2z-3=0
z1=3
z2=-1
lg3(x)=-1
x=1/3
x2=27