Histograms for sources detected in both g and K_s bands for template sample with models. (a) Histogram showing the dN/d log S_X distribution of the template sample of X-ray sources that have both g and K_s, constructed from the COSMOS Legacy survey. The curve shows the best-fit model. (b, c) Histograms of log S_X + 0.4g distribution of the template sample and the best-fit model (curve) for the high and low flux regimes respectively as labeled. (d, e) Same as (b, c) for the g − K_s distributions. In all panels, S_X is the 0.5–7 keV flux in units of erg s⁻¹ cm⁻².