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

Question 346

Multiple Choice

Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers with a≠1 and b≠1a \neq 1 \text { and } b \neq 1 .
- 3log⁡4(4x−2) +6log⁡4(2x+7) 3 \log _ { 4 } ( 4 x - 2 ) + 6 \log _ { 4 } ( 2 x + 7 )


A) log⁡4((4x−2) 3+(2x+7) 6) \log _ { 4 } \left( ( 4 x - 2 ) ^ { 3 } + ( 2 x + 7 ) ^ { 6 } \right)
B) log⁡4(4x−2) 3(2x+7) 6\log _ { 4 } ( 4 x - 2 ) ^ { 3 } ( 2 x + 7 ) ^ { 6 }
C) 18log⁡4(4x−2) (2x+7) 18 \log _ { 4 } ( 4 x - 2 ) ( 2 x + 7 )
D) log⁡4(4x−2) 3(2x+7) 6\log _ { 4 } \frac { ( 4 x - 2 ) ^ { 3 } } { ( 2 x + 7 ) ^ { 6 } }

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