Question

What is the domain of f(x) = log2(x + 3) + 2?

Answer 1

x>-3

Step-by-step explanation:

Answer 2

Remember that you cannot take the log of a negative number, regardless of the base. Also, you can take the logarithm of zero, since no number raised to a power can equal zero (although it come very close). 

Therefore, (x+3), the number inside the logarithm, must be greater than zero. 

x+3 > 0
x > -3 
The domain is x > -3,
or (-3, ∞) in interval notation