We have derived the star formation history (SFH) of the blue compact dwarf galaxy IZw18 through comparison of deep HST/ACS data with synthetic color magnitude diagrams. A statistical analysis was implemented for the identification of the best-fit SFH and relative uncertainties. We confirm that IZw18 is not a truly young galaxy, having started forming stars earlier than ~1 Gyr ago, and possibly at epochs as old as a Hubble time. In IZw18s main body we infer a lower limit of ~2 x 10^{6} M_sun for the mass locked-up in old stars. IZw18 s main body has been forming stars very actively during the last ~10 Myr, with an average star formation rate (SFR) as high as ~1 M_sun/yr (or ~2 x 10^{-5} M_sun yr^{-1} pc^{-2}). On the other hand, the secondary body was much less active at these epochs, in agreement with the absence of significant nebular emission. The high current SFR can explain the very blue colors and the high ionized gas content in IZw18, resembling primeval galaxies in the early Universe. Detailed chemical evolution models are required to quantitatively check whether the SFH from the synthetic CMDs can explain the low measured element abundances, or if galactic winds with loss of metals are needed.
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