Could this sentence also translate to, I learn
Generally "tanul" can be used for both "learn" and "study" but in my opinion "study" is the appropriate verb for this sentence.
as to my knowledge of Hungarian, doesn't "pihen" also mean relax? my answer was not approved.
It can, but there are words that come closer to the meaning of "relax".
Miért nem fogadja el a folyamatos megoldást. Magyarul mindkettő helyes. Native speaker.