Jesus is the Son of God in that He is the manifestation of God in flesh (John 1:1, 14). Jesus was as much human as you or I, but He was also a completely different type of human, because unlike us, He was without sin. Like other humans, He was born of a woman, but His conception was completely different, having been conceived in the virgin Mary (Luke 1:35) by the Holy Spirit that He should not 'inherit' the imputation of Adam's sin.
How is Jesus the Son of God?
During His life on Earth, there were few of the religious leaders who believed that Jesus, a mere Nazarene, could ever have the status of "Son of God," despite His miracles and the power He manifested. Jesus openly admitted to the High Priest that He was the Son of God, for which He was accused of blasphemy (Matthew 26:64-66). Later, taken to trial and cross-examined by Pilate, the issue was concerning His divinity. "The Jews answered him, 'We have a law, and according to that law he ought to die because he has made himself the Son of God'" (John 19:7). Indeed, it has always been a doctrine most readily attacked, even today. Whoever claimed to be the Son of God was claiming to be on a level co-equal with God and, according to Jewish law at that time, warranted the punishment laid out by Leviticus 24:15.
As the Son of God, Jesus was the radiance of God's glory and the exact representation of His being, but His glory was veiled by His humanity (Hebrews 1:3). It was only, for example, on the Mount of Transfiguration, that the glory of the Son was truly manifested and then only to three disciples (Matthew 17:1-9). But one day all of mankind will see the Son of God coming in power and glory and every knee will bow and every tongue will confess that Jesus, the Son of God, is Lord (Philippians 2:10-11).
What is the Trinity?
Is belief in the pre-existence of Jesus biblical?
How is Jesus the first-born over Creation? What does it mean for Jesus to be the first-born?
How is Jesus the Son of Man?
What is the theological concept of the hypostatic union?
Truth about Jesus Christ