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Use Properties of Logarithms to Condense the Logarithmic Expression 14(log8x+log8y)6log8(x+1)\frac { 1 } { 4 } \left( \log _ { 8 } x + \log _ { 8 } y \right) - 6 \log 8 ( x + 1 )

Question 152

Multiple Choice

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm
whose coefficient is 1. Where possible, evaluate logarithmic expressions.
- 14(log8x+log8y) 6log8(x+1) \frac { 1 } { 4 } \left( \log _ { 8 } x + \log _ { 8 } y \right) - 6 \log 8 ( x + 1 )


A) log8xy4(x+1) 6\log _ { 8 } \frac { \sqrt [ 4 ] { x y } } { ( x + 1 ) ^ { 6 } }
B) log8x+y4(x+1) 6\log 8 \frac { \sqrt [ 4 ] { x + y } } { ( x + 1 ) ^ { 6 } }
C) log8xy46(x+1) \log 8 \frac { \sqrt [ 4 ] { x y } } { 6 ( x + 1 ) }
D) log8x4+y4(x+1) 6\log _ { 8 } \frac { \sqrt [ 4 ] { x } + \sqrt [ 4 ] { y } } { ( x + 1 ) ^ { 6 } }

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