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Relativistic jets in active galactic nuclei represent one of the mostpowerful phenomena in the Universe. They form in the surroundings of thesupermassive black holes as a by-product of accretion onto the central blackhole in active galaxies. The flow in the jets propagates at velocities close tothe speed of light. The distance between the first part of the jet that isvisible in radio images (core) and the black hole is still a matter of debate.Only very-long-baseline interferometry observations resolve the innermostcompact regions of the radio jet. Those can access the jet base, and combiningdata at different wavelenghts, address the physical parameters of the outflowfrom its emission. We have performed an accurate analysis of thefrequency-dependent shift of the VLBI core location for a multi-wavelength setof images of the blazar CTA 102 including data from 6 cm down to 3 mm. Themeasure of the position of the central black hole, with mass $\sim10^{8.93}\,M_\odot$, in the blazar CTA 102 reveals a distance of $\sim8\times10^4$ gravitational radii to the 86 GHz core, in agreement with similarmeasures obtained for other blazars and distant radio galaxies, and in contrastwith recent results for the case of nearby radio galaxies, which show distancesbetween the black hole and the radio core that can be two orders of magnitudesmaller.

On the location of the supermassive black hole in CTA 102