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Write the Expression as a Single Logarithm with Coefficient 1 a1 and b1a \neq 1 \text { and } b \neq 1

Question 158

Multiple Choice

Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers with a1 and b1a \neq 1 \text { and } b \neq 1 .
- 13log3x6+16log3x619log3x\frac { 1 } { 3 } \log _ { 3 } x ^ { 6 } + \frac { 1 } { 6 } \log _ { 3 } x ^ { 6 } - \frac { 1 } { 9 } \log _ { 3 } x


A) 79log3(x12) \frac { 7 } { 9 } \log _ { 3 } \left( x ^ { 12 } \right)
B) log3(x26/9) \log _ { 3 } \left( x ^ { 26 / 9 } \right)
C) log3(x9/2) \log _ { 3 } \left( x ^ { 9 / 2 } \right)
D) log3(x7) \log _ { 3 } \left( x ^ { 7 } \right)

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