Rewrite as a difference of logarithms using the Quotient Rule of Logarithms. Do not evaluate the
logarithm.

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Mar 15,2025

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Rewrite as a difference of logarithms using the Quotient Rule of Logarithms. Do not evaluate the logarithm. $$ \log _{6}\left(\frac{9}{x}\right) $$ Submit Question

UpStudy AI · Accepted Answer

1. Start with the logarithm of a quotient:
   $$
   \log_b\left(\frac{m}{n}\right) = \log_b(m) - \log_b(n)
   $$

2. Apply this rule to the given expression:
   $$
   \log_{6}\left(\frac{9}{x}\right) = \log_{6}(9) - \log_{6}(x)
   $$
$$ \log_{6}\left(\frac{9}{x}\right) = \log_{6}(9) - \log_{6}(x) $$

Rewrite as a difference of logarithms using the Quotient Rule of Logarithms. Do not evaluate the
logarithm.

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Rewrite as a difference of logarithms using the Quotient Rule of Logarithms. Do not evaluate the logarithm. Submit Question