Let's say I have the following:

(a/b) = (c/d)^(k-1)

If I know c, d, and k, then a/b can be calculated easily.

But what if c/d was the unknown, and a/b and k were known?

To find c/d, I was thinking:

ln(a/b) = ln(c/d)^(k-1)

ln(a/b) = (k-1)ln(c/d)

(ln(a/b))/(k-1) = ln(c/d)

e^(ln(a/b))/(k-1) = c/d

Did I do this correctly?