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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 76

Multiple Choice

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 .
- 89log⁡b2y+45log⁡b(4y2) \frac { 8 } { 9 } \log _ { b } 2 y + \frac { 4 } { 5 } \log b \left( 4 y ^ { 2 } \right)


A) log⁡b(8y9/10) \log _ { b } \left( 8 y ^ { 9 / 10 } \right)
B) log⁡b(239/20y63/40) \log _ { b } \left( 2 ^ { 39 / 20 } y ^ { 63 / 40 } \right)
C) log⁡b(2112/45y112/45) \log _ { b } \left( 2 ^ { 112 / 45 } \mathrm { y } ^ { 112 / 45 } \right)
D) log⁡b(8y39/40) \log _ { b } \left( 8 \mathrm { y } ^ { 39 / 40 } \right)

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