how do I eliminate a parameter?

Question

Express the set of parametric equations x=e^-3t, y=2e^4t in the form y=f(x) by eliminating parameter.

Answer 1

Solve the "x equation" for t (take the natural log of both side and solve for t). Then take that and plug it into the other equation for for t, you will then have an equation that has y as a function of x (there will be no "t's" in it).