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Express as a Single Logarithm 5logaq54logar+13logaf3logap5 \log _ { a } q - \frac { 5 } { 4 } \log _ { a } r + \frac { 1 } { 3 } \log _ { a } f - 3 \log _ { a } p

Question 446

Multiple Choice

Express as a single logarithm.
- 5logaq54logar+13logaf3logap5 \log _ { a } q - \frac { 5 } { 4 } \log _ { a } r + \frac { 1 } { 3 } \log _ { a } f - 3 \log _ { a } p


A) logaq5p3f1/3r5/4\log _ { a } \frac { q ^ { 5 } p ^ { 3 } } { f ^ { 1 / 3 } r ^ { 5 / 4 } }

B) logaq5f1/3r5/4p3\log _ { a } \frac { q ^ { 5 } f ^ { 1 / 3 } } { r ^ { 5 / 4 } p ^ { 3 } }

C) logaq5r5/4f1/3p3\log _ { a } \frac { q ^ { 5 } r ^ { 5 / 4 } } { f ^ { 1 / 3 } p ^ { 3 } }

D) loga(5q54r+13f3p) \log _ { a } \left( 5 q - \frac { 5 } { 4 } r + \frac { 1 } { 3 } f - 3 p \right)

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