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Wood Kelley

10/05/2022 · High School

Use logarithms to rewrite \( \log ( 2 x z ^ { 8 } \sqrt { y } ) \) in terms of \( u , v , w \) given that \( u = \log x , v = \log y , w = \log z . \) Your answer may involve constants such as \( \log 2 \) but non-constant logs and exponents are not allowed. 

\( \log ( 2 x z ^ { 8 } \sqrt { y } ) = \square\) 

Answer
expertExpert-Verified Answer

Burgess Joseph
Qualified Tutor
4.0 (13votes)

log(2xz\(^{8}\)\(\sqrt{y}\))=log2+u+8w+\(\frac{1}{2}\)v

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