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

Question 378

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Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers with a≠1 and b≠1a \neq 1 \text { and } b \neq 1 .
- 3log⁡ax−9log⁡az23 \log _ { a } x - 9 \log _ { a } z ^ { 2 }


A) log⁡ax3log⁡az18\frac { \log _ { a } x ^ { 3 } } { \log _ { a } z ^ { 18 } }
B) log⁡a(x3z11) \log _ { a } \left( \frac { x ^ { 3 } } { z ^ { 11 } } \right)
C) log⁡a(x3z18) \log _ { a } \left( \frac { x ^ { 3 } } { z ^ { 18 } } \right)
D) log⁡a(3x9z2) \log _ { a } \left( \frac { 3 x } { 9 z ^ { 2 } } \right)

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