Condense the Expression Below to the Logarithm of a Single $$\frac { 3 } { 2 } \log _ { 7 } ( z + 5 )$$

question 11

Multiple Choice

Condense the expression below to the logarithm of a single quantity.
$$\frac { 3 } { 2 } \log _ { 7 } ( z + 5 )$$

• A) \(\log _ { 7 } ( \sqrt [ 3 ] { z } + 5 )\)
• B) \(\log _ { 7 } \left( \sqrt { z ^ { 3 } } + 5 \right)\)
• C) \(\log _ { 7 } \sqrt [ 3 ] { z + 5 }\)
• D) \(\log _ { 7 } \frac { 3 ( z + 5 ) } { 2 }\)
• E) \(\quad \log _ { 7 } \sqrt { ( z + 5 ) ^ { 3 } }\)