Write the Expression Below as a Single Logarithm with a Coefficient

question 79

Multiple Choice

Write the expression below as a single logarithm with a coefficient of 1. Assume all variable expressions represent positive real numbers. $5 \log _ { 2 } t - \frac { 1 } { 6 } \log _ { 2 } u + 4 \log _ { 2 } v$

• A) \(\log _ { 2 } \left( t ^ { 5 } - u ^ { - 6 } + v ^ { 4 } \right)\)
• B) \(\log _ { 2 } \left( t ^ { 5 } + \frac { 1 } { \sqrt [ 6 ] { u } } + v ^ { 4 } \right)\)
• C) \(\log _ { 2 } \left( \frac { t ^ { 5 } v ^ { 4 } } { \sqrt [ 6 ] { u } } \right)\)
• D) \(\log _ { 2 } \left( \frac { t ^ { 5 } v ^ { 6 } } { \sqrt [ 4 ] { u } } \right)\)
• E) \(\log _ { 2 } \left( \frac { t ^ { 6 } v ^ { 4 } } { \sqrt [ 5 ] { u } } \right)\)

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