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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 452

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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 .
- 13log⁡3(x6) +16log⁡3(x6) −19log⁡3x\frac { 1 } { 3 } \log _ { 3 } \left( x ^ { 6 } \right) + \frac { 1 } { 6 } \log _ { 3 } \left( x ^ { 6 } \right) - \frac { 1 } { 9 } \log _ { 3 } x


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

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