Inherited from Byzantine Greek λογαριασμός (logariasmós, “calculation”), from the aorist stem λογαριασ- of the verb λογαριάζω (logariázo) + -μός (-mós), the verb from Ancient Greek λογάριον (logárion) + -ᾰ́ζω (-ắzō), from the neuter diminutive of masculine λόγος (lógos, “word, reason, explanation”)
Is “logariasmó” related to the word logarithm?
The word “logarithm” comes from the Greek word “logos” and “arithmos”. Λογαριασμό/logariasmo is indeed related, and refers to counting.
https://en.wiktionary.org/wiki/λογαριασμός