SOLUTION: solve the equation: logx(1/81)=-4

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Question 860371: solve the equation:
logx(1/81)=-4

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
solve the equation:
logx(1/81)=-4
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If x is the base,
log%28x%2C1%2F81%29+=+-4
log%28x%2C3%5E-4%29+=+-4
x = 3
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Or
log%28x%2C1%2F81%29+=+-4
x%5E-4+=+1%2F81
x%5E4+=+81
root%284%2C81%29+=+x
x = 3