Rewrite the logarithmic equation $\log (x + 3) = 3$ in equivalent exponential form. There may be more than one correct answer.

A. $e^{x+3} = e^{3}$

B. $x+3 = e^{3}$

C. $x+3 = 10^{3}$

D. $x+3 = \log(3)$

E. $x+3 = 1000$

F. None of the above