  The limited angular resolutions and sensitivities historically available
below 300 MHz have made it difficult to define the low end of the electron
energy distribution, N(gamma). We extrapolate down from the well observed
segments of radio spectra with almost complete ignorance of what N(gamma) is
actually doing. We do not know if there is a low energy cutoff or if there are
other deviations from extrapolated power laws. The result is that we really do
not have a good estimate of the total energy density and pressure of the
relativistic plasmas we study. The situation is even worse for Inverse Compton
(IC) X-ray emission, several flavors of which rely on electrons of Lorentz
factors, gamma, of 1000, 300, or in some cases of order 50. If our assumed
extrapolations are wrong, some IC emission models may have to be abandoned. We
present several examples and demonstrate that the Long Wave Array (LWA) should
have sufficient sensitivity and resolution to obtain meaningful constraints on
N(gamma) at low energies.
