Question

evaluate log base 6 of the fourth root of 1/36

Answer 1

1/36 = (0.0277777778)
(0.0277777778)^.25
0.4082482905
log base 6 (0.4082482905) = -.5

logarithm calculator located here:
http://www.1728.org/logrithm.htm

Answer 2

1/36 = 1/6^2 = 6^(-2)
fourth root of 1/36 = (1/36)^(1/4) = ( 6^-2 ) (1/4) = 6^(-2/4) = 6^(-1/2)
log base 6 of 6^(-1/2) = -1/2