Answer
$\{ \frac{9}{2}\}$
Work Step by Step
$log_2(5x-6)-log_2(x+1)=log_23 \longrightarrow log_2(5x-6)=log_23+log_2(x+1) \longrightarrow log_2(5x-6)=log_2(3x+3) \longrightarrow 5x-6=3x+3 \longrightarrow x=\frac{9}{2}$
or $\{ \frac{9}{2}\}$
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.