3 syllables:
-logical, logical

4 syllables:
alogical, dilogical, illogical, nonlogical, noological, oological, unlogical, zoological

5 syllables:
aerological, agrological, algological, anagogical, analogical, anthological, apagogical, archaelogical, astrological, atmological, autological, battological, biological, bryological, carpological, cetological, chirological, christological, chronological, conchological, cosmological, crustalogical, cryptological, cytological, demagogical, dendrological, dialogical, ecological, enological, ethnological, ethological, etymlogical, extralogical, gemmological, gemological, geological, glottological, gnomological, graphological, hierological, histological, homological, horological, hydrological, hymnological, hypnological, isagogical, limnological, lithological, mammalogical, mazological, metalogical, metrological, micrological, monological, morphological, mycological, myological, mystagogical, mythological, necrological, neological, nephological, nephrological, neurological, nomological, nosological, oenological, oncological, ontological, orological, otological, overlogical, pantological, paragogical, paralogical, pathological, pedagogical, pedological, penological, petrological, phenological, philological, phonological, photological, phrenological, phycological, phytological, pomological, posological, proctological, psephological, psychological, pteridological, rheological, rhinological, scatalogical, scatological, seismological, semilogical, serological, sexological, sinological, spectrological, symbological, synagogical, tautological, technological, theological, topological, tribological, trichological, tropological, typological, virological, zumological, zymological

6 syllables:
abiological, adenological, aetiological, agrostological, amphibological, anthropological, arachnological, archaeological, archeological, areological, atheological, audiological, autecological, axiological, balneological, bibliological, carcinological, cardiological, climatological, codicological, cosmetological, craniological, cryptozoological, demonological, deontological, dermatological, egyptological, eschatological, etiological, etymological, futurological, gerontological, glaciological, gynaecological, gynecological, haematological, hagiological, hematological, herpetological, heterological, hyetological, ichthyological, iconological, ideological, immunological, kyriological, laryngological, lexicological, malacological, mariological, martyrological, mereological, methodological, mineralogical, museological, musicological, myriological, myrmecological, nematological, neontological, nonbiological, numerological, oceanological, odontological, ophiological, opthalmological, organological, orismological, ornithological, oryctological, osteological, palynological, papyrological, perissological, pharmacological, phraseological, physicological, physiological, pneumatological, praxeological, prebiological, primatological, promerphological, protozoological, radiological, rheumatological, roentgenological, semeiological, semiological, sociological, somatological, speleological, stereological, stomatological, technicological, teratological, terminological, thanatological, toxicological, traumatological, ufological, vexillological, vulcanological, zoophytological

7 syllables:
aerobiological, agrobiological, amphibiological, assyriological, astrobiological, bacteriological, biotechnological, characterological, chronobiological, cryobiological, dendrochronological, dialectological, dysteleological, ecclesiological, epistemological, exobiological, geochronological, geomorphological, glottochronological, histopathological, hydrobiological, hydrogeological, liturgiological, metapsychological, meteorological, micro-geological, microbiological, nanotechnological, neurobiological, neuropathological, neuropsychological, palaeontological, paleozoological, parapsychological, parasitological, phenomenological, photobiological, phytopathological, psychobiological, psychopathological, sedimentological, semasiological, soteriological, stoichiological, symptomatological, universological, unphysiological, venereological

8 syllables:
clinicopathological, ecophysiological, epidemiological, ethnomusicological, gastroenterological, immunopathological, neuropharmacological, neurophysiological, neuroradiological, onomasiological, otolaryngological, paleobiological, paleoecological, paleopathological, pathophysiological, physiopathological, phytosociological, psychopharmacological, psychophysiological, psychosociological, radiobiological, sociobiological, sociopsychological

9 syllables:
electro-physiological, electrophysiological, hydrometeorological, micrometeorological, paleoanthropological

10 syllables:
otorhinolaryngological

5 syllables:
apostolical