Use the properties of logarithms to write the expression as a single logarithm.
-$\log _ { 6 } x + 4 \log _ { 6 } x - \log _ { 6 } ( x + 9 )$
A) $\log _ { 6 } \frac { x ^ { 5 } } { x + 9 }$
B) $\log _ { 6 } \left[ x ^ { 5 } ( x + 9 ) \right]$
C) $\log _ { 6 } \frac { x ^ { 3 } } { x + 9 }$
D) $\log _ { 6 } \frac { x + 9 } { x ^ { 3 } }$

Question

Quizplus · Accepted Answer

Using the properties of logarithms, the expression can be simplified as follows: $\log_6 x + 4\log_6 x = 5\log_6 x$, which can be written as $\log_6 x^5$. Then, subtracting $\log_6(x + 9)$ gives $\log_6 \frac{x^5}{x + 9}$.

Use the Properties of Logarithms to Write the Expression as a Single