dagmawimengistu3 dagmawimengistu3
  • 25-06-2022
  • Mathematics
contestada

Given that log (p, x) =20 and log (p, y) =5 find log (x, y)

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sqdancefan
sqdancefan sqdancefan
  • 27-06-2022

Answer:

  1/4

Step-by-step explanation:

The change of base formula for logarithms is ...

  [tex]\log_b(a)=\dfrac{\log(a)}{\log(b)}[/tex]

__

Using this with the given values, we have ...

  [tex]\log_x(y)=\dfrac{\log_p(y)}{\log_p(x)}=\dfrac{5}{20}\\\\\boxed{\log_x(y)=\dfrac{1}{4}}[/tex]

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