The O(alpha_em/alpha_s) correction to BR[B -> X_s gamma]

We evaluate the O(alpha_em/alpha_s) correction to the rate of B -> X_s gamma decay, i.e. we resum all the 0[ alpha_em ln M_W^2/m_b^2 x (alpha_s ln M_W^2/m_b^2)^n ] corrections for n=0,1,2,... Our calculation differs from the previously available one by that it takes into account the complete relevant set of operators. The correction is found to be negligible, i.e. it is below 1%, in accordance with the former results.