The domain of the function fx=logelogsinxx2-8x+23-3log2sinx contains which of the following interval(s)?contains which of the following interval(s)?

fx  is  defined   if  logsinxx2-8x+23-3log2sinx>0or            logsinxx2-8x+238>0This is  true  if  sinx≠0,  and  x2-8x+238<1.Now,   x2-8x+238<1   or   x2-8x+15<0or     x∈3,5-π,3π2Domain   =3,π∪π,3π2∪3π2,5