When we follow the church through the book of Acts we see like in Acts 2, whoever calls on the name of Jesus will be saved. They were baptized in the name of Jesus. Acts is full of signs and wonders in the name of Jesus.
Acts 4:8-10 (NKJV) Then Peter, filled with the Holy Spirit, said to them, “Rulers of the people and elders of Israel: If we this day are judged for a good deed done to a helpless man, by what means he has been made well, let it be known to you all, and to all the people of Israel, that by the name of Jesus Christ of Nazareth, whom you crucified, whom God raised from the dead, by Him this man stands here before you whole.”
Acts 4:12 (NIV) “Salvation is found in no one else, for there is no other name under heaven given to mankind by which we must be saved.”