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Write as the Sum or Difference of Logarithms and Fully ln(ab5c4d)\ln \left( \frac { \sqrt [ 5 ] { a b } } { c ^ { 4 } d } \right)

Question 199

Multiple Choice

Write as the sum or difference of logarithms and fully simplify, if possible. Assume the variable
represents a positive real number.
- ln(ab5c4d) \ln \left( \frac { \sqrt [ 5 ] { a b } } { c ^ { 4 } d } \right)


A) 5lna+5lnb4lnclnd5 \ln a + 5 \ln b - 4 \ln c - \ln d
B) 15lna+15lnb4lnc4lnd\frac { 1 } { 5 } \ln a + \frac { 1 } { 5 } \ln b - 4 \ln c - 4 \ln d
C) 15lna+15lnb4lnclnd\frac { 1 } { 5 } \ln a + \frac { 1 } { 5 } \ln b - 4 \ln c - \ln d
D) 15lna+15lnb4lnc+lnd\frac { 1 } { 5 } \ln a + \frac { 1 } { 5 } \ln b - 4 \ln c + \ln d

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