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Write the Expression as a Single Logarithm with Coefficient 1 4log⁡4(6x−2)+6log⁡4(2x−4)4 \log _ { 4 } ( 6 x - 2 ) + 6 \log _ { 4 } ( 2 x - 4 )

Question 137

Multiple Choice

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


A) log⁡4((6x−2) 4+(2x−4) 6) \log _ { 4 } \left( ( 6 x - 2 ) ^ { 4 } + ( 2 x - 4 ) ^ { 6 } \right)
B) 24log⁡4(6x−2) (2x−4) 24 \log _ { 4 } ( 6 x - 2 ) ( 2 x - 4 )
C) log⁡4(6x−2) 4(2x−4) 6\log _ { 4 } ( 6 x - 2 ) ^ { 4 } ( 2 x - 4 ) ^ { 6 }
D) log⁡4(6x−2) 4(2x−4) 6\log _ { 4 } \frac { ( 6 x - 2 ) ^ { 4 } } { ( 2 x - 4 ) ^ { 6 } }

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