Question 172575: approximate the following logarithms using the properties of logarithms given logb2=0.3562,logb3=0.5646,logb5=0.8271:
logb2/5
logb5b
logb30
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! approximate the following logarithms using the properties of logarithms given logb2=0.3562,logb3=0.5646,logb5=0.8271:
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logb(2/5) = logb(2)-logb(5)
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logb(5b) = logb(5) + logb(b) = logb(5) + 1
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logb(30) = logb[2*3*5] = logb(2) + logb(3) + logb(5)
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I'll let you do the substitutions and the arithmetic.
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Cheers,
Stan H.
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