If 0 x and 81^ ² x +81^ ² x =30 then x is equal to

Step-by-step solution

We have, gathered 81^ ² x +81^ ² x =30 81^ ² x +81^ ² x =3+27 =81^ ² x +81^ ² x =(81)^ 1 4 +(81)^ 3 4 ² x= 1 4 and ² x= 3 4 x= 1 2 and x= 3 2 Since, 0 < x < x= 1 2 and x= 3 2 x= 6 gathered