Asked by Labz
evaluate:
log base 1/4 (1/16)^4
log base 1/4 (1/16)^4
Answers
Answered by
Henry
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.
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.
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