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Answer :

Answer:

  -27

Step-by-step explanation:

It looks like you're trying to evaluate ...

  [tex]\displaystyle 5^{\log_5{8}}-3^{\log_3{5}+\log_3{7}}=8-3^{\log_3{35}}=8-35=\boxed{-27}[/tex]

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The relevant rules are ...

  b^(log_b(x) = x

  log(a)+log(b) = log(ab)

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