Question 584138: Evaluate without using logarithm tables: Log81(1/27).
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Evaluate without using logarithm tables: Log81(1/27).Evaluate without using logarithm tables:
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log(base 81)(1/27)
log(base 3^4)(3^-3)
base raised to log of number=number
(3^4)^-(3/4)=3^-3
Therefore,log(base 81)(1/27)=-3/4
Check with calculator:
81^(-3/4)≈.0370
1/27≈.0370
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