Question 315093
log(base 6)216 = x can be written as 6^(x) = 216.

The number 6 raised to what power will yield 216?

As you said, x = 3 because you must multiply 6 by itself 3 times to get 216.

In other words, 6 x 6 x 6 = 216.  Therefore, x = 3.