Solve `4^((log)_9x)-6x^((log)_9 2)+2^((log)_3 27)=0`

Explanation

Given equation is
`(2^(log_(9^(x))))^(2) - 6(2^(log_(9^(x))))+27^(log_(3^(2)))=0`
Let` 2^(log_(9^(x)))=y," we get "y^(2)-6y+8=0`
` rArr y = 4 or 2`
If ` 2^(log_(9^(x))= 2^(2)`
` rArr log_(9)x = 2`
` rArr x = 81`
If ` 2^(log_(9^(x)))=2^(1)`
` rArr log_(9)x= 1`
` rArr x = 9`