,

Set up the parametric equation for to solve the equation for .

Rewrite the equation as .

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

Expand by moving outside the logarithm.

The natural logarithm of is .

Multiply by .

Replace in the equation for to get the equation in terms of .

Simplify by moving inside the logarithm.

Eliminate the Parameter x=e^t , y=e^(-2t)