Abstract: In this paper the extendedCes\'aro operator $\tg$ is characterized between the $\a$-Bloch spaces $\ba$ and the logarithmic weighted Bloch space $\bl$ on the unit disc. Some necessary and sufficient conditions are given for $\tg$ to be a bounded operator or a compact operator from $\bl(\ba)$ to $\ba(\bl)$.

Key words: Extended Cesàro operators, Weighted Bloch spaces, Bounded operator, Compact operator