We present a spectral investigation of X-ray binaries in NGC 5128 (Cen A), using six 100 ks Chandra observations taken over two months in 2007. We divide our sample into thermally and non-thermally dominated states based on the behavior of the fitted absorption column N H , and present the spectral parameters of sources with L x 2 × 10 37 erg s −1 . The majority of sources are consistent with being neutron star low mass X-ray binaries (NS LMXBs) and we identify three transient black hole (BH) LMXB candidates coincident with the dust lane, which is the remnant of a small late-type galaxy. Our results also provide tentative support for the apparent 'gap' in the mass distribution of compact objects between ∼ 2 − 5 M ⊙ .We propose that BH LMXBs are preferentially found in the dust lane, and suggest this is because of the younger stellar population. The majority (∼ 70 − 80%) of potential Roche-lobe filling donors in the Cen A halo are 12 Gyr old, while BH LMXBs require donors 1M ⊙ to produce the observed peak luminosities. This requirement for more massive donors may also explain recent results that claim a steepening of the X-ray luminosity function with age at L x ≥ 5 × 10 38 erg s −1 for the XB population of early-type galaxies; for older stellar populations, there are fewer stars 1M ⊙ , which are required to form the more luminous sources.