Rewrite as a single logarithm using the quotient rule for logarithms. Assume all variables represent positive real
numbers.
-$$\log _ { b } s - \log _ { b } x$$
A) $\log _ { 2 b } \frac { s } { x }$
B) $\log _ { b } \frac { s } { x }$
C) $\log _ { \mathrm { b } } \mathrm { s } - \mathrm { x }$
D) $\log _ { b } \frac { x } { s }$

Question

Quizplus · Accepted Answer

Using the quotient rule for logarithms, we have:
$$\log_b\frac{s}{x} = \log_b s - \log_b x$$
Therefore, the given expression is equivalent to $\log_b\frac{s}{x}$, which matches choice B.

Rewrite as a Single Logarithm Using the Quotient Rule for Logarithms