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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. 5log2t16log2u+4log2v5 \log _ { 2 } t - \frac { 1 } { 6 } \log _ { 2 } u + 4 \log _ { 2 } v


A) log2(t5u6+v4) \log _ { 2 } \left( t ^ { 5 } - u ^ { - 6 } + v ^ { 4 } \right)
B) log2(t5+1u6+v4) \log _ { 2 } \left( t ^ { 5 } + \frac { 1 } { \sqrt [ 6 ] { u } } + v ^ { 4 } \right)
C) log2(t5v4u6) \log _ { 2 } \left( \frac { t ^ { 5 } v ^ { 4 } } { \sqrt [ 6 ] { u } } \right)
D) log2(t5v6u4) \log _ { 2 } \left( \frac { t ^ { 5 } v ^ { 6 } } { \sqrt [ 4 ] { u } } \right)
E) log2(t6v4u5) \log _ { 2 } \left( \frac { t ^ { 6 } v ^ { 4 } } { \sqrt [ 5 ] { u } } \right)

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