Answer:
[tex]\log _{81}\left(3\right)=\frac{1}{4}\quad \left(\mathrm{Decimal:\quad }\:0.25\right)[/tex]
[tex]\mathrm{Rewrite\:}81\mathrm{\:as\:}3^4\\=\log _{3^4}\left(3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _{x^n}\left(x\right)=\frac{1}{n}\\\log _{3^4}\left(3\right)=\frac{1}{4}\\[/tex]
Hope this helps!!!
[tex]Sofia[/tex]
