Rewrite as a single logarithm using the product rule for logarithms. Assume all variables represent positive real
numbers.
-$\log _ { 5 } x + \log _ { 5 } y$
A) $\log _ { 10 } ( \mathrm { x } + \mathrm { y } )$
B) $\log _ { 5 } ( x y )$
C) $\log _ { 5 } ( x + y )$
D) $\log _ { 10 } ( x y )$

Question

Quizplus · Accepted Answer

Using the product rule for logarithms, we can combine $\log _ { 5 } x + \log _ { 5 } y$ into one logarithm: 
$$\log_5(xy)$$

Rewrite as a Single Logarithm Using the Product Rule for Logarithms