Answer
$x=\frac{3}{4}$
Work Step by Step
Apply the quotient property for logarithms to have:
$\log_2{(\frac{6}{x})}=3$
RECALL:
$\log_a{b}=x \longrightarrow a^x=b$
Use this rule in converting the equation to its equivalent exponential equation to have:
$2^3=\frac{6}{x}
\\8=\frac{6}{x}
\\8(x)=6
\\x=\frac{6}{8}
\\x=\frac{3}{4}$
