SOLUTION: Express as a single logarithm, simplify if possible
log(w)(x^2-64)-log(w)(x-8)
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Question 211992: Express as a single logarithm, simplify if possible
log(w)(x^2-64)-log(w)(x-8)
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
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basic laws of logarithms
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your problem looks like the second one.
you have:
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this becomes:
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which becomes so the logarithm formula becomes:
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to confirm this is true, let w = 10, and let x = 20 and solve (any number for w and x would do but the base of 10 can be solved using the calculator and 20 is just a nice number easy to remember and use). I also had to make sure that I was not taking the log of a negative number because that is not allowed. 20 is big enough so that doesn't happen).
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becomes:
= = 1.447158031
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becomes:
= = 1.447158031
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the two equations are identical.
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