You can put this solution on YOUR website! write the expression 1/3ln(x^2+1)-4ln3-5[ln(x-4)+lnx] as a single logarithm
1/3ln(x^2+1)-4ln3-5[ln(x-4)+lnx]
=1/3ln(x^2+1)-4ln3-5ln(x-4)-5lnx
=1/3ln(x^2+1)-(4ln3+5ln(x-4)+5lnx)
=ln[(x^2+1)^(1/3)/(3^4*(x-4)^5*x^5)]