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Write the Expression as a Single Logarithm with Coefficient 1 a1 and b1a \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 a1 and b1a \neq 1 \text { and } b \neq 1 .
- 34loga(p2q8) 12loga(p5q2) \frac { 3 } { 4 } \log _ { a } \left( p ^ { 2 } q ^ { 8 } \right) - \frac { 1 } { 2 } \log _ { a } \left( p ^ { 5 } q ^ { 2 } \right)


A) loga(p4q7) \log _ { a } \left( p ^ { 4 } q ^ { 7 } \right)
B) loga(34p2q812p5q2) \log _ { a } \left( \frac { 3 } { 4 } p ^ { 2 } q ^ { 8 } - \frac { 1 } { 2 } p ^ { 5 } q ^ { 2 } \right)
C) loga(3q62p3) \log _ { a } \left( \frac { 3 q ^ { 6 } } { 2 p ^ { 3 } } \right)
D) loga(q5p) \log _ { a } \left( \frac { q ^ { 5 } } { p } \right)

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