Write the logarithmic expression\log(\sqrt[3]{\frac{x^{-12}y^7}{z^{-14}}})as an expression involving three separate logarithms

interdicoxd

interdicoxd

Answered question

2022-01-20

Write the logarithmic expression
log(x12y7z143)
as an expression involving three separate logarithms

Answer & Explanation

macalpinee3

macalpinee3

Beginner2022-01-20Added 29 answers

Solution: We have to write log(x12y7z143) as an express involving three separate logarithms We know that: logab=loga+logb log(ab)=logalogb logan=nloga Now,log(x12y7z143) =log((x12y7z14)13) =log(x12×13y7×13z14×13) =log(x4y73z143) =log(x4)+logy73(143)logz 4logx+73logy+143logz log(x12y7z143)=4logx+73logy+143logz
Daniel Cormack

Daniel Cormack

Beginner2022-01-21Added 34 answers

Thank you for taking the trouble to write an answer, I respect you man

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