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