Rewrite Using the Pow Er and Product Rules $\log _{5} \sqrt{6 x}$

Multiple Choice

Rewrite using the pow er and product rules. Assume all variables represent positive real numbers.
- $\log _{5} \sqrt{6 x}$

A) $\log _{5} \sqrt{6}+\log _{5} \sqrt{x}$
B) $\log _{5} 6+\frac{1}{2} \log _{5} x$
C) $\frac{1}{2} \log _{5} 6 x$
D) $\frac{1}{2} \log _{5} 6+\frac{1}{2} \log _{5} x$