What is the domain of the function f(x)=−4log2(x+3)−6 ? enter your answer in the box?

Try this solution:
1. according to the definition of logarithm
[tex]log_ab=c \ =\ \textgreater \ \ a^c=b,[/tex]    where a∈(0;1)∪(1;+oo) and b>0.
2. The variable is only in b, using item 1. it is possible to write: x+3>0. 
⇒ x>-3.
Answer: D(f)=(-3;+oo).