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Write as the Sum And/or Difference of Logarithms ln⁡(6x)1+3x9(x−9)7,x>9\ln \frac { ( 6 x ) \sqrt [ 9 ] { 1 + 3 x } } { ( x - 9 ) ^ { 7 } } , \quad x > 9

Question 460

Multiple Choice

Write as the sum and/or difference of logarithms. Express powers as factors.
- ln⁡(6x) 1+3x9(x−9) 7,x>9\ln \frac { ( 6 x ) \sqrt [ 9 ] { 1 + 3 x } } { ( x - 9 ) ^ { 7 } } , \quad x > 9


A) 6ln⁡x+13ln⁡(1+3x) −7ln⁡(x−9) 6 \ln x + \frac { 1 } { 3 } \ln ( 1 + 3 x ) - 7 \ln ( x - 9 )
B) ln⁡6+ln⁡x+19ln⁡(1+3x) −7ln⁡(x−9) \ln 6 + \ln x + \frac { 1 } { 9 } \ln ( 1 + 3 x ) - 7 \ln ( x - 9 )
C) ln⁡6+ln⁡x−9ln⁡(1+3x) −7ln⁡(x−9) \ln 6 + \ln x - 9 \ln ( 1 + 3 x ) - 7 \ln ( x - 9 )
D) ln⁡6+ln⁡x+19ln⁡(1+3x) −ln⁡7−ln⁡(x−9) \ln 6 + \ln x + \frac { 1 } { 9 } \ln ( 1 + 3 x ) - \ln 7 - \ln ( x - 9 )

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