Question 130716
Rewrite as   (3^2)^x=1/3(3^1/2)
power to power: multiply exponents:   3^2x=1/3(3^1/2)
multiply both sides by 3:             3(3^2x)=1/3(3^1/2)(3)
like bases -add exponents             3^2x+1=3^1/2
equate exponents                      2x+1=1/2
 solve equation                  x=-1/4