bbyjj12 bbyjj12
  • 26-03-2021
  • Mathematics
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Condense the expression in a single logarithm: 6log3m + 2log3n – 4log3p

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sqdancefan
sqdancefan sqdancefan
  • 26-03-2021

9514 1404 393

Answer:

  log3(m^6n^2/p^4)

Step-by-step explanation:

The applicable rules of logarithms are ...

  log(a^b) = b·log(a)

  log(ab) = log(a) +log(b)

  log(a/b) = log(a) -log(b)

_____

We assume you want to condense ...

  [tex]6\log_3(m)+2\log_3(n)-4\log_3(p)=\boxed{\log_3\left(\dfrac{m^6n^2}{p^4}\right)}[/tex]

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