We present what we believe to be the first implementation of Fourier transform (FT) holography using a tabletop coherent x-ray source. By applying curvature correction to compensate for the large angles inherent in high-NA coherent imaging, we achieve image resolution of $89\mathrm{nm}$ using high-harmonic beams at a wavelength of $29\mathrm{nm}$ . Moreover, by combining holography with iterative phase retrieval, we improve the image resolution to $<53\mathrm{nm}$ . We also demonstrate that FT holography can be used effectively with short exposure times of $30\mathrm{s}$ . This technique will enable biological and materials microscopy with simultaneously high spatial and temporal resolution on a tabletop soft-x-ray source.