Rewrite as a difference of logarithms using the Quotient Rule of Logarithms. Do not evaluate the logarithm. $$ \log _{9}\left(\frac{15}{x}\right) $$

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To rewrite the expression $$ \log_{9}\left(\frac{15}{x}\right) $$ as a difference of logarithms using the Quotient Rule of Logarithms, we can apply the rule which states:

$$
\log_b\left(\frac{A}{B}\right) = \log_b(A) - \log_b(B)
$$

In this case, $$ A = 15 $$ and $$ B = x $$. Therefore, we can rewrite the expression as follows:

$$
\log_{9}\left(\frac{15}{x}\right) = \log_{9}(15) - \log_{9}(x)
$$

Thus, the expression $$ \log_{9}\left(\frac{15}{x}\right) $$ rewritten as a difference of logarithms is:

$$
\log_{9}(15) - \log_{9}(x)
$$
$$ \log_{9}(15) - \log_{9}(x) $$

Rewrite as a difference of logarithms using the Quotient Rule of Logarithms. Do not evaluate the logarithm. \( \log _{9}\left(\frac{15}{x}\right) \)

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