SOLUTION: Simplify log uv/w + log uw/v + log vw/u - log(uvw)
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Question 1162022: Simplify log uv/w + log uw/v + log vw/u - log(uvw)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Two rules:
1. The SUM of the logs is the log of the PRODUCT
2. The DIFFERENCE of the logs is the log of the QUOTIENT
\ +\ \log\(\frac{uw}{v}\)\ +\ \log\(\frac{vw}{u}\)\ -\ \log\(uvw\)\ =\)
(\frac{uw}{v}\)\(\frac{vw}{u}\)\(\frac{1}{uvw}\)\)\ =)
\(\frac{1}{uvw}\)\)\ =\ \log\(\frac{uvw}{uvw}\)\ =\ \log(1)\ =\ 0)
John
My calculator said it, I believe it, that settles it
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