Solve the equation Express irrational answers in exact form

Solve the equation. Express irrational answers in exact form and as a decimal rounded to 3 decimals.

(8/9)^x= 3^1-x

(8/9)x= 31-x

add x to both sides

(8/9) x + x = 31

(8/9 + 1) x = 31

17/9 x = 31

Multiply both sides by 9/17

x= 31 * (9/17)

x=279/17