BryPGuy89 is right. The Church does not hold an official view on tattoos. From my understanding when the Church is neutral on a subject it’s up to the individual to decide.
Typically however, most people cite Leviticus 19:28 in the Old Testament.
[quote=Lev 19:28] ‘You shall not make any cuts in your body for the dead nor make any tattoo marks on yourselves: I am the LORD.’
This passage was in reference to the popular pagan tradition at the time of tattooing oneself or cutting oneself to appease their gods or ancestors.
In addition, with Jesus fulfilling the Law, the attention was drawn away from items of the body, but rather, to the items of the soul. For example:
[quote=Romans 3:26-29] (26) So if the uncircumcised man keeps the requirements of the Law, will not his uncircumcision be regarded as circumcision? (27) And he who is physically uncircumcised, if he keeps the Law, will he not judge you who though having the letter of the law and circumcision are a transgressor of the Law? (28) For he is not a Jew who is one outwardly, nor is circumcision that which is outward in the flesh. (29) But he is a Jew who is one inwardly; and circumcision is that which is of the heart, by the Spirit, not by the letter; and his praise is not from men, but from God.
Although this was in regards to circumcision you get the point. Jesus changed the focus from the physical law to the spiritual law.
And in regards to tattoos violating the Fifth Commandment I’m not sure how that applies. The Fifth Commandment reads:
[quote=Exodus 20:13]You shall not murder.
I’m not exactly sure how they draw the connection between murder and tattoos.
I myself am planning on getting tattoos. I’m just saving up for them now. Both are religious in context and are in locations that can be covered up easily (on my shoulders). They are meant as personal and permanent physical reminders of my connection to God.