Write the Logarithmic Expression as a Single Logarithm with Coefficient $$3 \log _ { 5 } m - 8 \log _ { 5 } n$$

question 203

Multiple Choice

Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as
possible.
- $$3 \log _ { 5 } m - 8 \log _ { 5 } n$$

• A) \(\log _ { 5 } \left( m ^ { 3 } - n ^ { 8 } \right)\)
• B) \(\log _ { 5 } \frac { m ^ { 3 } } { n ^ { 8 } }\)
• C) \(\frac { 3 } { 8 } \log _ { 5 } \frac { m } { n }\)
• D) \(\log _ { 5 } ( 3 m - 8 n )\)

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