Rewrite as the sum of two or more logarithms using the product rule for logarithms. Assume all variables represent
positive real numbers.
-$\log _ { 4 }$ (xy)
A) $\log _ { 2 } x + \log _ { 2 } y$
B) $\log _ { 4 } x - \log _ { 4 } y$
C) $\log _ { 4 } x + \log _ { 4 } y$
D) $\log _ { 2 } x - \log _ { 2 } y$

Question

Quizplus · Accepted Answer

Using the product rule for logarithms, we can rewrite $\log _ { 4 }$ (xy) as $\log_4 x + \log_4 y$. Therefore, the best choice is C, which represents the sum of $\log _ { 4 } x$ and $\log _ { 4 } y$.

Rewrite as the Sum of Two or More Logarithms Using log⁡4\log _ { 4 }log4​

Rewrite as the Sum of Two or More Logarithms Using $\log _ { 4 }$