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Write the Expression as a Single Logarithm with Coefficient 1 32log⁡n9y+95log⁡n(81y2)\frac { 3 } { 2 } \log _ { n } 9 y + \frac { 9 } { 5 } \log _ { n } \left( 81 y ^ { 2 } \right)

Question 369

Multiple Choice

Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers.
- 32log⁡n9y+95log⁡n(81y2) \frac { 3 } { 2 } \log _ { n } 9 y + \frac { 9 } { 5 } \log _ { n } \left( 81 y ^ { 2 } \right)


A) log⁡n(729y9/10) \log _ { n } \left( 729 y ^ { 9 / 10 } \right)
B) log⁡n(939/20y63/40) \log _ { n } ( 9^{39 / 20} y ^{63 / 40 })
C) log⁡n(951/10y51/10) \log _ { n } \left( 9^{51 / 10} y ^ { 51 / 10 } \right)
D) log⁡n(729y39/40) \log _ { n } \left( 729 \mathrm { y } ^ { 39 / 40 } \right)

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