SOLUTION: Evaluate log4 (1/cube root 16)

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Question 965395: Evaluate log4 (1/cube root 16)
Answer by lwsshak3(11628) About Me  (Show Source):
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Evaluate log4 (1/cube root 16)
log%284%2C%281%2F16%5E%281%2F3%29%29%29=log%284%2C%2816%5E%28-1%2F3%29%29%29
convert to exponential form:
base(4)raised to log of number(x)=number(16^(-1/3))
4^x=16^(-1/3)=4^2^(-1/3)=4^(-2/3)
x=-2/3
log4 (1/cube root 16)=-2/3