We performed high accuracy Cu-63 NQR spin-lattice relaxation and SQUID magn
etization measurements on O-16 and O-18 exchanged YBa2Cu4O8 to determine th
e isotope shift of the temperature of the opening of the spin gap, T*, and
the superconducting transition temperature, T-c. The corresponding isotope
exponents are alpha(T)* = 0.061(8) and alpha(Tc) = 0.056(12) which are the
same within the error bars and suggest a common origin for the superconduct
ing and the spin gap.