Write the Expression as a Single Logarithm with Coefficient 1 $$a \neq 1 \text { and } b \neq 1$$

question 199

Multiple Choice

Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers with $$a \neq 1 \text { and } b \neq 1$$
- $2 \log _ { 6 } ( 3 x - 3 ) + 6 \log _ { 6 } ( 2 x + 1 )$

• A) \(\log _ { 6 } \left( ( 3 x - 3 ) ^ { 2 } + ( 2 x + 1 ) ^ { 6 } \right)\)
• B) \(\log _ { 6 } \frac { ( 3 x - 3 ) ^ { 2 } } { ( 2 x + 1 ) ^ { 6 } }\)
• C) \(\log _ { 6 } ( 3 x - 3 ) ^ { 2 } ( 2 x + 1 ) ^ { 6 }\)
• D) \(12 \log _ { 6 } ( 3 x - 3 ) ( 2 x + 1 )\)

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