anonymous
  • anonymous
How do I use the properties of logarithms to rewrite 1/2log y p^3q^3-2/3log y p^4q^3
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
use parentheses please
anonymous
  • anonymous
\[(1/2) \log _{y} (p ^{3}q ^{4})-(2/3) \log _{y}(p ^{4}q ^{3})\]
anonymous
  • anonymous
okay, use the rules x log a = log a^x and log a - log b = log(a/b)

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anonymous
  • anonymous
what about the base y ?
anonymous
  • anonymous
shouldn't it be y^2/3 ?
anonymous
  • anonymous
it is constant in both terms.
anonymous
  • anonymous
no. you can manipulated logarithms with the same base in the ways I indicated.
anonymous
  • anonymous
is that all what do ido with the p and q's

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