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Write the Expression as a Single Logarithm with Coefficient 1 12log2x4+14log2x416log2x\frac { 1 } { 2 } \log _ { 2 } x ^ { 4 } + \frac { 1 } { 4 } \log _ { 2 } x ^ { 4 } - \frac { 1 } { 6 } \log _ { 2 } x

Question 37

Multiple Choice

Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers.
- 12log2x4+14log2x416log2x\frac { 1 } { 2 } \log _ { 2 } x ^ { 4 } + \frac { 1 } { 4 } \log _ { 2 } x ^ { 4 } - \frac { 1 } { 6 } \log _ { 2 } x


A) log2(x7) \log _ { 2 } \left( x ^ { 7 } \right)
B) log2(x17/6) \log _ { 2 } \left( x ^ { 17 / 6 } \right)
C) 76log2(x8) \frac { 7 } { 6 } \log _ { 2 } \left( x ^ { 8 } \right)
D) log2(x9/2) \log _ { 2 } \left( x ^ { 9 / 2 } \right)

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