Question 32906
 Let x= log(base sqrt3) 81
 Then (sqrt3)^x=81
      (sqrt3)^x=3^4= (sqrt3)^8
 Therefore x=8
Let y=log(base sqrt81) 3
 then (sqrt81)^y=3
       9^y=3
  Therefore y=1/2
Question now becomes; Does xy=1  ?
Since 8(1/2) is not 1 the answer is "FALSE".
Cheers,
Stan H.