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

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.
- $5 \log _ { 4 } ( 5 x - 5 ) + 6 \log _ { 4 } ( 3 x - 3 )$

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

Correct Answer:

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