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Write the Logarithm as a Sum or Difference of Logarithms log2p5q9\log _ { 2 } \frac { p ^ { 5 } } { q ^ { 9 } }

Question 128

Multiple Choice

Write the logarithm as a sum or difference of logarithms. Simplify each term as much as possible.
- log2p5q9\log _ { 2 } \frac { p ^ { 5 } } { q ^ { 9 } }


A) 59(log2plog2q) \frac { 5 } { 9 } \left( \log _ { 2 } p - \log _ { 2 } q \right)
B) 59(log2p+log2q) \frac { 5 } { 9 } \left( \log _ { 2 } p + \log _ { 2 } q \right)
C) 4(log2plog2q) - 4 \left( \log _ { 2 } p - \log _ { 2 } q \right)
D) 5log2p9log2q5 \log _ { 2 } p - 9 \log _ { 2 } q

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