  We study logamediate inflation in the context of $f(T)$ teleparallel gravity.
$f(T)$-gravity is a generalization of the teleparallel gravity which is
formulated on the Weitzenb\"{o}ck spacetime, characterized by the vanishing
curvature tensor (absolute parallelism) and the non-vanishing torsion tensor.
We consider an $f(T)$-gravity model which is sourced by a canonical scalar
field. Assuming a power-law $f(T)$ function in the action, we investigate an
inflationary universe with a logamediate scale factor. Our results show that,
although logamediate inflation is completely ruled out by observational data in
the standard inflationary scenario based on Einstein gravity, it can be
compatible with the 68\% confidence limit joint region of Planck 2015
TT,TE,EE+lowP data in the framework of $f(T)$-gravity.
