Can women pray in a loud voice like men? Thanks very much.

All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.

If a woman is praying alone or in the presence of women or Mahram men (i.e. a husband or a person whom one is permanently prohibited from marrying due to suckling, marital, or blood relations), then she could pray with a loud voice whether she leads other women in prayer or prays individually but if she performs the prayer with the presence of a non-Mahram man, then she should pray silently.    

Allah knows best.