Question

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

Answer 1

9514 1404 393

Answer:

  log₃(7) -2·log₃(5)

Step-by-step explanation:

The applicable rules of logarithms are ...

  log(a/b) = log(a) -log(b)

  log(a^b) = b·log(a)

__

You have ...

  $\log_3\dfrac{7}{25}=\log_3{7}-\log_3{25}=\log_3{7}-\log_3{5^2}\\\\=\boxed{\log_3{7}-2\log_3{5}}$