log

take log both sides
log₉ x > log 9/log x

(log x )² >( log 9)²

log x > log 9

or log x < - log 9 or log x < log 1/9

x is >0 known fact..

this gives the result x > 9 or 0 < x <1/9

It implies x>9.

aditya ur answer is wrong

@akash, riddle has written the same thing dat u hav written.[7]

oh..!!!...i missed the other condition[2]