how would you solve a problem like this for X:

Question

(1/3=(3^2x+2)

Answer 1

I assume you meant

1/3 = 3^(2x+2)
then , since we can make the bases the same ....

3^-1 = 3^(2x+2)
2x+2 = -1
2x = -3
x = -3/2