Question

Find the value of k when (3 ^ 6) ^ k = 3 ^ 2

Answer 1

(3^6)^k = 3^2

(3^6)^k = (3^2)^k

3^6k = 3^2k

6k = 2k

k = 3

k = -3 or 1/3

Answer 2

`k=(1)/(3)`

Explanation:

`{(3^6)}^k=3^2\\\\3^((6*k))=3^2\\\\\\6*k=2\\\\k=(1)/(3)`