Which of the following is the same as $\log ( 12 x ) - \log ( 3 x )$ for $x 0$ ?
A) $4 \log x$
B) $\frac { \log ( 12 x ) } { \log ( 3 x ) }$
C) $\log ( 4 )$
D) $\log ( 9 x )$

Question

Which of the following is the same as $\log ( 12 x ) - \log ( 3 x )$ for $x > 0$ ?
A) $4 \log x$
B) $\frac { \log ( 12 x ) } { \log ( 3 x ) }$
C) $\log ( 4 )$
D) $\log ( 9 x )$

Quizplus · Accepted Answer

Using the logarithm property $\log a - \log b = \log(\frac{a}{b})$, we get $\log ( 12 x ) - \log ( 3 x ) = \log\left(\frac{12x}{3x}\right) = \log(4)$.

Which of the Following Is the Same As log⁡(12x)−log⁡(3x)\log ( 12 x ) - \log ( 3 x )log(12x)−log(3x)

Which of the Following Is the Same As $\log ( 12 x ) - \log ( 3 x )$