Substitute in To make that come out an integer, all the ln's must cancel out, plus both denominators must cancel into both numerators. The coefficient of the first ln in the right denominator is twice the coefficient of the second ln. Therefore, the right denominator will cancel into the left numerator if the coefficient 4+a is twice the coefficient a. So to have that, 4+a = 2a 4 = a The coefficient of both ln's in the left denominator are equal, Therefore, the left denominator will cancel into the right numerator if coefficients 3+b and 2b are equal. So to have that, 3+b = 2b 3 = b So substituting a = 4 and b = 3 So a = 3, b = 4, and c = 24 Edwin