What is the domain of y = log_4 (x+3) ? all real numbers less than - 3 all real numbers greater than - 3 all real numbers less than 3 all real numbers greater than 3

Step-by-step answer:

The domain of log functions (any legitimate base) requires that the argument evaluates to a positive real number.

For example, the domain of log (4x) will remain positive when x>0.

The domain of log_4 (x+3) requires that x+3 >0, i. e. x>-3.

Finally, the domain of log_2 (x-3) is such that x-3>0, or x>3.