this is a graded assignment in which i got this answer wrong and would like to know how to properly compete it. please help and show work!

Given:
[tex]\log _82[/tex][tex]\text{Let }\log _82=x[/tex][tex]2=8^x[/tex][tex]2=(2^3)^x[/tex][tex]2=2^{3x}[/tex][tex]1=3x[/tex][tex]x=\frac{1}{3}[/tex][tex]\log _82=\frac{1}{3}[/tex]