what is the laplace transform of 4^t

Question

what is the laplace transform of 4 base t as power L{4^T}

and what are the steps by step solution?

Answer 1

We need to get 4^t into the form e^(at). Let e^y=4^t, y=ln(4)t, so a=ln(4) and the Laplace transform is 1/(s-a)=1/(s-ln(4)).