Answer
$x=\frac{1}{2}$
Work Step by Step
Use the product property for logarithms to have:
$\log_4{(2x)}=0$
RECALL:
$\log_a{b}=x \longrightarrow a^x=b$
Use this rule in converting the equation to its equivalent exponential equation to have:
$4^0=2x
\\1=2x
\\\frac{1}{2}=x$
