# Laplace transform of complex exponential

EvLer
I just want to be sure I understand this correctly, usually L[f(t)] = 1/(s-a), where $$f(t) = e^{at}$$, but if it is a complex number would still be 1/(s - complex_number)?
techinically, i think it should be, since every number can be reprsented as complex number. Just want to be sure about this with Laplace transform.
thanks much.

I just want to be sure I understand this correctly, usually L[f(t)] = 1/(s-a), where $$f(t) = e^{at}$$, but if it is a complex number would still be 1/(s - complex_number)?