,

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

Rewrite the equation as .

Take the root of both sides of the to eliminate the exponent on the left side.

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

Simplify by moving inside the logarithm.

Rewrite as .

Rewrite as .

Apply the power rule and multiply exponents, .

Combine and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify.

Eliminate the Parameter x=t^3 , y=3 natural log of t