I have 3 problems I need my answers confirmed for. The solution for log subscript 3 1/9 = x is the solution -1/2? Secondl, what is the solution for 9^2x = 3^x+6 does x=2? Lastley is the answer to 3 ^5x+2 = 81 does x= 2/5? Help sincerely appreciated!

The solution for log subscript 3 1/9 = x is the solution -1/2?

No.

Secondl, what is the solution for 9^2x = 3^x+6 does x=2?
9^2x = 3^4x So no

Lastley is the answer to 3 ^5x+2 = 81 does x= 2/5?

Yes