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Question in image. The bottom number is what you’re writing in terms of.

Question in image. The bottom number is what you’re writing in terms of.-example-1
User KopBob
by
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1 Answer

9 votes

9514 1404 393

Answer:

log₃(7) -2·log₃(5)

Explanation:

The applicable rules of logarithms are ...

log(a/b) = log(a) -log(b)

log(a^b) = b·log(a)

__

You have ...


\log_3(7)/(25)=\log_3{7}-\log_3{25}=\log_3{7}-\log_3{5^2}\\\\=\boxed{\log_3{7}-2\log_3{5}}

User Harish Vangavolu
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4.1k points