There really are no colors that you "shouldn't" use in a logo--it all depends on the brand, the message, and the target audience. However, there are some colors that tend to be used more often than others, and there are some color combinations that are more popular than others.
Some of the most popular colors for logos are black, white, blue, and red. Black and white are classic colors that can be used for any type of brand. Blue is often used for corporate logos because it conveys trustworthiness and professionalism. Red is a popular color for logos because it is attention-grabbing and can convey energy and excitement.
When it comes to color combinations, there are a few that are more popular than others. Black and white is a classic combo that can be used for any brand. Blue and white is also a popular combo because it conveys trustworthiness and professionalism. Red and black is a popular combo because it is attention-grabbing and can convey energy and excitement.