Condenser microphones can be used for live performances, but they are not the best option compared to dynamics mics. This is due to their sensitivity to background noise and the need for an external power source.
Condenser mics are excellent for studio recordings due to their flat frequency response and high accuracy in sound reproduction. However, their high sensitivity can be a disadvantage in live settings as they can pick up a lot of unwanted noise along with the intended signal, resulting in a lower signal-to-noise ratio.
Moreover, most condenser mics require an external power source (Phantom Power), which might not be readily available at all venues. While some condenser mics have built-in preamps that eliminate the need for phantom power, they tend to be more expensive.
Due to these reasons, dynamics mics are more commonly used for live performances. They offer higher durability,