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

question 277

Multiple Choice

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

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

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