Solve the equation lnx*ln(x)^2 when x*y= x + y + 2 Solution To solve the equation, we\'ll use the definition for the composition law, given by the enunciation, the only difference is that the terms are now, ln x and ln (x^2). lnx*ln(x)^2 = lnx+ln(x)^2+2 lnx*ln(x)^2 = ln x + 2ln x + 2 But lnx*ln(x)^2 = 5. 5 = 3ln x + 2 3ln x = 5-2 3ln x = 3 ln x = 1 x=e^1 x=e.