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Express as a Single Logarithm And, If Possible, Simplify logb8x+4(logbxlogby)\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.
- logb8x+4(logbxlogby) \log _ { b } 8 x + 4 \left( \log _ { b } x - \log _ { b } y \right)


A) logb(8x+x4y4) \log _ { b } \left( 8 x + x ^ { 4 } - y ^ { 4 } \right)
B) (logb8x) (logbx4) logy4\frac { \left( \log _ { b } 8 x \right) \left( \log _ { b } x ^ { 4 } \right) } { \log \mathrm { y } ^ { 4 } }
C) logb8x5y4\log _ { b } \frac { 8 x ^ { 5 } } { y ^ { 4 } }
D) logb32x2y4\log b \frac { 32 x ^ { 2 } } { y ^ { 4 } }

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