I need help solving an equation

I'm trying to do an air resistance lab problem for physics class.

Basically, I had two sets of data (mass and velocity) and plugged them in to this equation: m(9.8) = kv^n

I solved up to a certain point (here):

31.16 = k(2.70)^((20.78 – ln(k))/(.419))

In the end, I need to find n, but I figure that if I can solve for k in that equation then I can easily find n.

My teacher said we can just guess and check for this problem, but I'd rather have a solution for the equation.

(And of course I will credit whoever helps me out)

This is due on Tuesday, so I hope someone can help me out sometime tonight or tomorrow.

Thanks