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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 466

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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
- 37log⁡b9y+75log⁡b(81y2) \frac { 3 } { 7 } \log _ { b } 9 y + \frac { 7 } { 5 } \log _ { b } \left( 81 y ^ { 2 } \right)


A) log⁡b(9113/35y113/35) \log _ { b } ( 9113 / 35 y 113 / 35 )
B) log⁡b(729y39/40) \log _ { b } ( 729 y 39 / 40 )
C) log⁡b(729y9/10) \log _ { b } \left( 729 y ^ { 9 / 10 } \right)
D) log⁡b(939/20y63/40\log _ { b } ( 939 / 20 y 63 / 40 )

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