9 (2x) x 27 (3-x) =1/9

Question

9^2x  x 27^(3-x) = 1/9

Answer 1

convert EVERYTHING to common base 3, then EQUATE exponents!

 

3^4x•33(3-x) = 3^-2  then combine left side to a single exponent expression, on base 3.

correction: the 33 should be 3^3... when attempting to correct this, the WyzAnt presentation involved control characters & makes it quite difficult to fix.