Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
-$\log _ { 6 } \left( \frac { 6 } { x } \right)$
A) $1 - \log _ { 6 } x$
B) $\frac { 1 } { x }$
C) $- \log _ { 6 } x$
D) 6

Question

Quizplus · Accepted Answer

The expression can be expanded using the quotient rule of logarithms, $\log_b \frac{M}{N} = \log_b M - \log_b N$, resulting in $\log_6 6 - \log_6 x$. Since $\log_6 6 = 1$, the expression simplifies to $1 - \log_6 x$.

Use Properties of Logarithms to Expand the Logarithmic Expression as Much