  We show how to compute chiral logarithms that take into account both the
$\cO(a^2)$ taste-symmetry breaking of staggered fermions and the fourth-root
trick that produces one taste per flavor. The calculation starts from the
Lee-Sharpe Lagrangian generalized to multiple flavors. An error in a previous
treatment by one of us is explained and corrected. The one loop chiral
logarithm corrections to the pion and kaon masses in the full (unquenched),
partially quenched, and quenched cases are computed as examples.
