Write as the Sum or Difference of Logarithms and Fully $\log \left( \frac { \sqrt [ 3 ] { a b } } { c ^ { 5 } } \right)$

question 160

Multiple Choice

Write as the sum or difference of logarithms and fully simplify, if possible. Assume the variable
represents a positive real number.
- $\log \left( \frac { \sqrt [ 3 ] { a b } } { c ^ { 5 } } \right)$

• A) \(\sqrt [ 3 ] { \log a + \log b } + 5 \log c\)
• B) \(3 \log a + \log b - 5 \log c\)
• C) \(\frac { 1 } { 3 } \log a + \frac { 1 } { 3 } \log b - 5 \log c\)
• D) \(\frac { 1 } { 3 } \log a + \log b - 5 \log c\)