Assume that $x$ , $y$ , $z$ , and $\text { a }$ $( b \neq 1 )$ are positive numbers.Use the properties of logarithms to write the expression in terms of the logarithms of x , y , and z . $\log _ { b } \frac { x } { y z }$ A)log_b x log_b y log_b z B)log_b x + log_b y + log_b z C)- log_b x - log_b y - log_b z D)log_b x - log_b y - log_b z

Question

Quizplus · Accepted Answer

We can use the property of logarithms, $\log_b{\frac{x}{yz}}=\log_b{x}-\log_b{yz}=\log_b{x}-\log_b{y}-\log_b{z}$. Therefore, the expression can be written in terms of the logarithms of $x$, $y$, and $z$ as $\log_b{x}-\log_b{y}-\log_b{z}$. This matches choice D.

Assume That xxx yyy zzz , And a \text { a } a (b≠1)( b \neq 1 )(b=1)

Assume That $x$ $y$ $z$ , And $\text { a }$ $( b \neq 1 )$