A putative powerlaw range of the probability density of velocity gradient in high-Reynolds-number forced Burgers turbulence is studied. In the absence of information about shock locations, elementary conservation and stationarity relations imply that the exponent −α in this range satisfies α⩾3, if dissipation within the power-law range is due to isolated shocks. A generalized model of shock birth and growth implies α=7/2 if initial data and forcing are spatially homogeneous and obey Gaussian statistics. Arbitrary values α⩾3 can be realized by suitably constructed homogeneous, non-Gaussian initial data and forcing.

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