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Use the Product, Quotient, and Power Rules of Logarithms to Rewrite

Question 150

Multiple Choice

Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all
variables represent positive real numbers.
- 5log4(5x5) +6log4(3x3) 5 \log _ { 4 } ( 5 x - 5 ) + 6 \log _ { 4 } ( 3 x - 3 )


A) log4((5x5) 5+(3x3) 6) \log _ { 4 } \left( ( 5 x - 5 ) ^ { 5 } + ( 3 x - 3 ) ^ { 6 } \right)
B) log4(5x5) 5(3x3) 6\log _ { 4 } ( 5 x - 5 ) ^ { 5 } ( 3 x - 3 ) ^ { 6 }
C) 30log4(5x5) (3x3) 30 \log _ { 4 } ( 5 x - 5 ) ( 3 x - 3 )
D) log4(5x5) 5(3x3) 6\log _ { 4 } \frac { ( 5 x - 5 ) ^ { 5 } } { ( 3 x - 3 ) ^ { 6 } }

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