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Write the Logarithmic Expression as a Single Logarithm with Coefficient 13log7a+log7(b225)log7(b+5)\frac { 1 } { 3 } \log _ { 7 } a + \log _ { 7 } \left( b ^ { 2 } - 25 \right) - \log _ { 7 } ( b + 5 )

Question 277

Multiple Choice

Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as
possible.
- 13log7a+log7(b225) log7(b+5) \frac { 1 } { 3 } \log _ { 7 } a + \log _ { 7 } \left( b ^ { 2 } - 25 \right) - \log _ { 7 } ( b + 5 )


A) log7[a3(b225) (b+5) ]\log _ { 7 } \left[ \frac { \sqrt [ 3 ] { a } \left( b ^ { 2 } - 25 \right) } { ( b + 5 ) } \right]
B) log7[a3(b5) ]\log _ { 7 } [ \sqrt [ 3 ] { a } ( b - 5 ) ]
C) log7[a3(b3+5b225b125) ]\log _ { 7 } \left[ \sqrt [ 3 ] { a } \left( b ^ { 3 } + 5 b ^ { 2 } - 25 b - 125 \right) \right]
D) a3(b5) \sqrt [ 3 ] { a } ( b - 5 )

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