Write the Expression as a Single Logarithm $$\frac { 1 } { 3 } \left[ \log \left( a ^ { 2 } + 2 a \right) - \log ( a + 2 ) \right]$$

question 15

Multiple Choice

Write the expression as a single logarithm. Assume all variables represent positive real numbers. $$\frac { 1 } { 3 } \left[ \log \left( a ^ { 2 } + 2 a \right) - \log ( a + 2 ) \right]$$

• A) \(\log \sqrt [ 3 ] { a }\)
• B) \(\log \sqrt [ 3 ] { a ^ { 2 } + a - 2 }\)
• C) \(\log _ { 1 / 3 } \left( a ^ { 2 } + a - 2 \right)\)
• D) \(\log \left( a ^ { 3 } + 4 a ^ { 2 } + 4 a \right) ^ { 1 / 3 }\)