Write the Expression as a Single Logarithm $2 \log ( x + 6 ) + \frac { 1 } { 3 } \log y - 5 \log z$

question 99

Multiple Choice

Write the expression as a single logarithm. Assume all variables represent positive real numbers. $2 \log ( x + 6 ) + \frac { 1 } { 3 } \log y - 5 \log z$

• A) \(\log \left[ \frac { 2 ( x + 6 ) } { 5 y ^ { 3 } z } \right]\)
• B) \(\log \left[ \frac { ( x + 6 ) ^ { 2 } } { y ^ { 3 } z ^ { 5 } } \right]\)
• C) \(\log \left[ \frac { 2 ( x + 6 ) \sqrt [ 3 ] { y } } { 5 z } \right]\)
• D) \(\log \left[ \frac { ( x + 6 ) ^ { 2 } \sqrt [ 3 ] { y } } { z ^ { 5 } } \right]\)

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