Answer: [tex]x=9[/tex]Step-by-step explanation:Alright, lets get started.[tex]log_{6}4x^2-log_{6}x=2[/tex]Using the property of logs : [tex]log (m) - log(n)=log\frac{m}{n}[/tex][tex]log_{6}\frac{4x^2}{x}=2[/tex][tex]log_{6}4x=2[/tex]Using the property of logs : [tex]if \ log_{a}m=n, \ then \ a^n=m[/tex]So, [tex]6^2=4x[/tex][tex]4x=36[/tex]Dividing 4 in both sides[tex]x=9[/tex] ...................... AnswerHope it will help :)