Answer
$x=1$
Work Step by Step
$\ln(x-\frac{1}{2})+\ln 2=2\ln x$
$\ln((x-\frac{1}{2})*2)=\ln x^{2}$
$2x-1=x^{2}$
$x^{2}-2x+1=0$
$(x-1)^{2}=0$
$x-1=0$
$x=1$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.