Express as the Logarithm of a Single Expression $3 \log _ { 5 } x + \frac { 1 } { 6 } \log _ { 5 } x - 2 \log _ { 5 } ( x + 1 )$

question 237

Multiple Choice

Express as the logarithm of a single expression. Assume that variables represent positive numbers.
- $3 \log _ { 5 } x + \frac { 1 } { 6 } \log _ { 5 } x - 2 \log _ { 5 } ( x + 1 )$

• A) \(\log _ { 5 } \frac { x ^ { 19 / 6 } } { ( x + 1 ) ^ { 2 } }\)
• B) \(\frac { 19 } { 6 } \log _ { 5 } \frac { x } { ( x + 1 ) ^ { 2 } }\)
• C) \(\log _ { 5 } \left( \frac { \frac { 19 } { 6 } x } { 2 ( x + 1 ) } \right)\)
• D) \(\log _ { 5 } \frac { x ^ { 19 / 6 } } { 2 ( x + 1 ) }\)

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