Answer
$x=\dfrac{3}{24}$
Work Step by Step
Apply the quotient rule to have:
$\log_5{\left(\frac{x+3}{x}\right)}=2$
RECALL:
$\log_a{b}=x \longrightarrow a^x=b $
where $b\gt0$
Use this rule in converting the equation to its equivalent exponential equation to have:
$5^2=\dfrac{x+3}{x}
\\25=\dfrac{x+3}{x}
\\25(x)=x+3
\\25x=x+3
\\25x-x=3
\\24x=3
\\x=\dfrac{3}{24}$
