evaluate:

Question

log base 1/4 (1/16)^4

Answer 1

Log1/4 (1/16)^4 = x.
4*Log1/4 (1/16) = x
Divide both sides by 4:
Log1/4 (1/16) = x/4
Exponential form:
(1/4)^(x/4) = Log(1/16)
Take Log of both sies:
(x/4)*Log(1/4) = Log(1/16)
Divide both sides by Log(1/4):
x/4 = Log(1/16) / Log(1/4) = 2
X = 8.