We study the two-dimensional gas of charged bosons interacting via a logari
thmic potential within the quantal hypernetted-chain approximation. The pai
r correlation function, the static structure factor, the ground state energ
y, and the spectrum of collective excitations are calculated over a range o
f the density parameter r(s). We find that the static and dynamical propert
ies are described rather well in this approach in comparison to previous th
eories. Our results are in good agreement with the available quantum Monte
Carlo simulations.