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) $\log _ { 4 } \frac { ( 5 x - 5 ) ^ { 5 } } { ( 3 x - 3 ) ^ { 6 } }$

Question

Quizplus · Accepted Answer

The power rule of logarithms allows the coefficients to be rewritten as exponents inside the logarithm, and the product rule allows the addition of logarithms to be rewritten as the logarithm of the product of the arguments.

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