Final answer:
The equation y = log₂(x + 5) is not defined for all x because the argument of the logarithm (x + 5) must be greater than zero, making the domain of x greater than -5.
Step-by-step explanation:
Content loaded: The equation y = log₂(x + 5) is subject to the limitations inherent in logarithmic functions. Specifically, the argument of the logarithm, which in this case is (x + 5), must always be greater than zero. This is because logarithms are undefined for non-positive arguments. Thus, the domain of the function excludes values of x that make (x + 5) less than or equal to zero. Consequently, the equation is not defined for any x that satisfies x ≤ -5.