Express as a Single Logarithm And, If Possible, Simplify $\log _ { b } 8 x + 4 \left( \log _ { b } x - \log _ { b } y \right)$

question 36

Multiple Choice

Express as a single logarithm and, if possible, simplify.
- $\log _ { b } 8 x + 4 \left( \log _ { b } x - \log _ { b } y \right)$

• A) \(\log _ { b } \left( 8 x + x ^ { 4 } - y ^ { 4 } \right)\)
• B) \(\frac { \left( \log _ { b } 8 x \right) \left( \log _ { b } x ^ { 4 } \right) } { \log \mathrm { y } ^ { 4 } }\)
• C) \(\log _ { b } \frac { 8 x ^ { 5 } } { y ^ { 4 } }\)
• D) \(\log b \frac { 32 x ^ { 2 } } { y ^ { 4 } }\)

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