Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all
variables represent positive real numbers.
-$\log _ { b } x + \log _ { b } y$
A) $\log _ { b } ( x + y )$
B) $\log _ { 2 b } ( x + y )$
C) $\log _ { b } x y$
D) $\log _ { 2 b } x y$

Question

Quizplus · Accepted Answer

The product rule of logarithms states that $\log_b x + \log_b y = \log_b (xy)$, which directly matches choice C.

Use the Product, Quotient, and Power Rules of Logarithms to Rewrite