Use the properties of logarithms to write the logarithm in terms of $\log _{3}(5)$ and $\log _{3}(7)$. \[ \log _{3}\left(\frac{7}{25}\right) \] Need Help? Read it

Step 1 ：Given the expression \(\log _{3}\left(\frac{7}{25}\right)\)

Step 2 ：Using the properties of logarithms, specifically the quotient rule, we can rewrite the expression as \(\log _{3}(7) - \log _{3}(25)\)

Step 3 ：Next, we express 25 as \(5^2\) and apply the power rule of logarithms to rewrite \(\log _{3}(25)\) as \(2\log _{3}(5)\)

Step 4 ：Substituting this back into our expression, we get \(\log _{3}(7) - 2\log _{3}(5)\)

Step 5 ：Final Answer: \(\boxed{\log _{3}(7) - 2\log _{3}(5)}\)