SOLUTION: use log 2=.301, log 3= .699 to compute log (1/20) to the nearest three decimal places.

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Question 523624: use log 2=.301, log 3= .699 to compute log (1/20) to the nearest three decimal places.
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
use log 2=.301, log 3= .699 to compute log (1/20) to the nearest three decimal places.
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log(1/20) = 0 - (log(2) + 1)
= -1.301

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
use log 2=.301, log 5= .699 to compute log (1/20) to the nearest three decimal places.
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1/20 = 1/(2^2*5)
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log(1/20) = log(20)^-1 = -log(2^2*5)
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= -[2log(2) + log(5)]
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= -[2*0.301 + 0.699]
----
= -1.3010
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Cheers,
Stan H.
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