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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 376

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 .
- 34log⁡a(p2q8) −12log⁡a(p5q2) \frac { 3 } { 4 } \log _ { a } \left( p ^ { 2 } q ^ { 8 } \right) - \frac { 1 } { 2 } \log _ { a } \left( p ^ { 5 } q ^ { 2 } \right)


A) log⁡a(p4q7) \log _ { a } \left( p ^ { 4 } q ^ { 7 } \right)
B) log⁡a(34p2q8−12p5q2) \log _ { a } \left( \frac { 3 } { 4 } p ^ { 2 } q ^ { 8 } - \frac { 1 } { 2 } p ^ { 5 } q ^ { 2 } \right)
C) log⁡a(3q62p3) \log _ { a } \left( \frac { 3 q ^ { 6 } } { 2 p ^ { 3 } } \right)
D) log⁡a(q5p) \log _ { a } \left( \frac { q ^ { 5 } } { p } \right)

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