Does the log base number effect the domain and range?

Question

Math homework due in the morning that from videos my teacher made us watch over the weekend that I'm still a little bit confused on

Answer 1

No matter the base, the domain and range do not change.

Since you cannot take the log of a non-positive number, the domain will always be x > 0.

The range will always be -∞ to +∞.

Check it out here using the slider for b to change the base and notice that the graphs have the same basic shape. As the base gets larger it takes longer and longer for the graph to start getting large y values.

desmos.com/calculator/fmnylqbqom