belenmendoza8802 belenmendoza8802

06-03-2020
Mathematics

contestada

if log a=3 log b-2 log c, find an expression for a that does not involve logarithms

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Danboghiu66 Danboghiu66

06-03-2020

Assuming that b>0 and c>0:

log(a)=3×log(b)-2×log(c)=

log(b³)-log(c²)=

log(b³/c²)

Hence a=b³/c²

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