Convert the logarithmic equation into exponential form. The statement log_3(x + 2) = 4 means x + 2 = 3^4. Now calculate 3^4 = 81, so x + 2 = 81. Subtract 2 from both sides: x = 81 - 2 = 79. Finally, check the domain: x + 2 must be positive, and 79 + 2 = 81 > 0, so the answer is valid.