Express as the logarithm of a single expression. Assume that variables represent positive numbers.
-$\log _ { b } x - \log _ { b } y$
A) $\log _ { b } x - y$
B) $\log _ { b } \frac { y } { x }$
C) $\log _ { 2 b } \frac { x } { y }$
D) $\log _ { b } \frac { x } { y }$

Question

Quizplus · Accepted Answer

The subtraction of logarithms with the same base is equivalent to the logarithm of the division of their arguments, hence $\log_b x - \log_b y = \log_b \frac{x}{y}$.

Express as the Logarithm of a Single Expression log⁡bx−log⁡by\log _ { b } x - \log _ { b } ylogb​x−logb​y

Express as the Logarithm of a Single Expression $\log _ { b } x - \log _ { b } y$