Rewrite Using the Power and Product Rules $\log _ { 6 } \sqrt { 2 x }$

Multiple Choice

Rewrite using the power and product rules. Assume all variables represent positive real numbers.
- $\log _ { 6 } \sqrt { 2 x }$

A) $\log _ { 6 } \sqrt { 2 } + \log _ { 6 } \sqrt { x }$
B) $\frac { 1 } { 2 } \log _ { 6 } 2 + \frac { 1 } { 2 } \log _ { 6 } x$
C) $\frac { 1 } { 2 } \log _ { 6 } 2 x$
D) $\log _ { 6 } 2 + \frac { 1 } { 2 } \log _ { 6 } x$