Whenever j and k are positive integers such that (√3)^{j} = 27^{k}, what is the value of j/k?

F. 1/6

G. 3/2

H. 3

J. 4

K. 6

**The correct answer is E. **

For b > 0, b ≠1, b^{x} = b^{y} means x = y.

(√3)^{j} = 27^{k}

3^{2/j} = 3^{3k}

j/2 = 3k

j/k = 6