What is 7(ln(\sqrt[7]{e^5})-ln(xy)) ?

The solution to 7(ln(\sqrt[7]{e^5})-ln(xy)) is 7ln((\sqrt[7]{e^5})/(xy))

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simplify 7(ln(\sqrt[7]{e^5})-ln(xy))

simplify

Solution steps

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

\frac{ln ( 21 ) - 3 ln ( 2 )}{5 ln ( 2 )}

ln (\frac{4}{15})

lo g_{10} (\frac{x}{1000 y ^{2}})

ln (\frac{e}{x y ^{2}})

ln (\frac{37}{38})

What is 7(ln(\sqrt[7]{e^5})-ln(xy)) ?
The solution to 7(ln(\sqrt[7]{e^5})-ln(xy)) is 7ln((\sqrt[7]{e^5})/(xy))