Rewrite as the sum of two or more logarithms using the product rule for logarithms. Assume all variables represent
positive real numbers.
-$\log _ { 4 } ( 10 x )$
A) $\log _ { 2 } 10 + \log _ { 2 } x$
B) $\log _ { 2 } 10 - \log _ { 2 } x$
C) $\log _ { 4 } 10 - \log _ { 4 } \mathrm { x }$
D) $\log _ { 4 } 10 + \log _ { 4 } x$

Question

Quizplus · Accepted Answer

Using the product rule for logarithms, we can rewrite $\log_{4}(10x)$ as $\log_{4}10 + \log_{4}x$. Thus, the best choice is D.

Rewrite as the Sum of Two or More Logarithms Using log⁡4(10x)\log _ { 4 } ( 10 x )log4​(10x)

Rewrite as the Sum of Two or More Logarithms Using $\log _ { 4 } ( 10 x )$